7g-(9g-16)=g-5

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Solution for 7g-(9g-16)=g-5 equation: 


Simplifying
7g + -1(9g + -16) = g + -5

Reorder the terms:
7g + -1(-16 + 9g) = g + -5
7g + (-16 * -1 + 9g * -1) = g + -5
7g + (16 + -9g) = g + -5

Reorder the terms:
16 + 7g + -9g = g + -5

Combine like terms: 7g + -9g = -2g
16 + -2g = g + -5

Reorder the terms:
16 + -2g = -5 + g

Solving
16 + -2g = -5 + g

Solving for variable 'g'.

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

Add '-1g' to each side of the equation.
16 + -2g + -1g = -5 + g + -1g

Combine like terms: -2g + -1g = -3g
16 + -3g = -5 + g + -1g

Combine like terms: g + -1g = 0
16 + -3g = -5 + 0
16 + -3g = -5

Add '-16' to each side of the equation.
16 + -16 + -3g = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3g = -5 + -16
-3g = -5 + -16

Combine like terms: -5 + -16 = -21
-3g = -21

Divide each side by '-3'.
g = 7

Simplifying
g = 7

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