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Theequationdoes not have anysolution. Therefore,option Dis thecorrect answer.The given equation is 4(a + 3)=12 + 4a.We need to solve an equation for a.How to solve an equation?Solving equationsis computing thevalueof theunknown variablestill balancing theequationonboth sides. An equation is a condition on a variable such thattwoexpressionsin the variable haveequal value. The value of thevariablefor which the equation is satisfied is said to be thesolutionof theequation. An equation remains the same if theLHSand theRHSareinterchanged. The variable for which the value is to be found is isolated and the solution is obtained.Now, 4a+12=12+4a⇒4a-4a=12-12⇒0=0Theequationdoes not have anysolution. Therefore,option Dis thecorrect answer.To learn more about anequationvisit:brainly.com/question/14686792.#SPJ2...