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Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides1. (g+4) - 3g = 1 + g

g = 1
g = 4
no solution
identity

2. -6a + 3 = -3(2a - 1)

a=5
a=10
no solution
identity

3. 0.5b + 4 = 2(b+2)

b=0
b=0.5
no solution
identity

4. 8 -(3 + b) = b - 9

7
8
no solution
identity

1)g+4-3g=1+gsubtracting g from both sides4-3g=1subtracting 4 from both sides-3g=-3g=12)-6a+3=-3(2a-1)extending the right side-6a+3=-6a+3adding 6a to both sides3=3which is an identity3)0.5b+4=2(b+2)extending the right side0.5b+4=2b+4subtracting 0.5 b from both sides4=1.5b+4subtracting 4 from both sides0=1.5bb=04)8-(3+b)=b-9subtracting 8 from both sides-(3+b)=b-17extending the left side-3-b=b-17adding b to both sides-3=2b-17adding 17 to both sides14=2bb=7...

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