7(g-3)=3(4g+7)+18

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Solution for 7(g-3)=3(4g+7)+18 equation:


Simplifying
7(g + -3) = 3(4g + 7) + 18

Reorder the terms:
7(-3 + g) = 3(4g + 7) + 18
(-3 * 7 + g * 7) = 3(4g + 7) + 18
(-21 + 7g) = 3(4g + 7) + 18

Reorder the terms:
-21 + 7g = 3(7 + 4g) + 18
-21 + 7g = (7 * 3 + 4g * 3) + 18
-21 + 7g = (21 + 12g) + 18

Reorder the terms:
-21 + 7g = 21 + 18 + 12g

Combine like terms: 21 + 18 = 39
-21 + 7g = 39 + 12g

Solving
-21 + 7g = 39 + 12g

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-12g' to each side of the equation.
-21 + 7g + -12g = 39 + 12g + -12g

Combine like terms: 7g + -12g = -5g
-21 + -5g = 39 + 12g + -12g

Combine like terms: 12g + -12g = 0
-21 + -5g = 39 + 0
-21 + -5g = 39

Add '21' to each side of the equation.
-21 + 21 + -5g = 39 + 21

Combine like terms: -21 + 21 = 0
0 + -5g = 39 + 21
-5g = 39 + 21

Combine like terms: 39 + 21 = 60
-5g = 60

Divide each side by '-5'.
g = -12

Simplifying
g = -12

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