3(g+7)=5g-13

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Solution for 3(g+7)=5g-13 equation:


Simplifying
3(g + 7) = 5g + -13

Reorder the terms:
3(7 + g) = 5g + -13
(7 * 3 + g * 3) = 5g + -13
(21 + 3g) = 5g + -13

Reorder the terms:
21 + 3g = -13 + 5g

Solving
21 + 3g = -13 + 5g

Solving for variable 'g'.

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

Add '-5g' to each side of the equation.
21 + 3g + -5g = -13 + 5g + -5g

Combine like terms: 3g + -5g = -2g
21 + -2g = -13 + 5g + -5g

Combine like terms: 5g + -5g = 0
21 + -2g = -13 + 0
21 + -2g = -13

Add '-21' to each side of the equation.
21 + -21 + -2g = -13 + -21

Combine like terms: 21 + -21 = 0
0 + -2g = -13 + -21
-2g = -13 + -21

Combine like terms: -13 + -21 = -34
-2g = -34

Divide each side by '-2'.
g = 17

Simplifying
g = 17

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