Solution forFurther explanationIt is a case about one variable linear quations and we have to solve the equation to get the variable m. There are two ways to solve it!Our main plan is to isolate the variable m alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.First wayLet us addto both sidesOn the right side for the addition operation, we equate the common denominator by multiplyingThen we combine terms to getDivide by the coefficient of m, or in other words, multiply both sides byFinally, the solution is obtained as followsSimplify fractions, both the numerator and denominator are divided equally by 7.Convert into mixed fractions, we get:In decimal form, we getSecond way (a quick way)Because the denominators 7 and 14 have LCM = 14, both sides are multiplied by 14 (LCM is the Least Common Multiple)We use the distributive property of multiplication on the left sideor it can also directly lead toAdd 2 to both sides, we getDivide by the coefficient of m, or in other words, both sides are divided by 4Or,Or,Wanna check the solution into the equation?Both sides show the same value, so the solution is correct.Note:Remember, how to manipulate both sides of the equation with the algebraic properties of equality such as:adding,subtracting,multiplying, and/ordividing both sides of the equation with the same number.In the form of fractions, the steps that must be considered areequate the denominator,simplify fractions, andfor the final answer, convert fractions to mixed fractions or decimal formsAll these processes can occur repeatedly until the isolated variables are obtained on one side of the equation.Learn moreA word problem that forms a single variable linear equationbrainly.com/question/1566971Learn more about the single variable linear equation that has no solution, has one solution, and has infinitely many solutionsbrainly.com/question/2595790Questioning the stages of solving a word problem about one variable linear equationsbrainly.com/question/2038876Answer detailsGrade :Middle SchoolSubject :MathematicsChapter :Linear Equation in One VariableKeywords :solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14,  5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal...

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