3g-4(5g-2)+16=-10

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Solution for 3g-4(5g-2)+16=-10 equation:


Simplifying
3g + -4(5g + -2) + 16 = -10

Reorder the terms:
3g + -4(-2 + 5g) + 16 = -10
3g + (-2 * -4 + 5g * -4) + 16 = -10
3g + (8 + -20g) + 16 = -10

Reorder the terms:
8 + 16 + 3g + -20g = -10

Combine like terms: 8 + 16 = 24
24 + 3g + -20g = -10

Combine like terms: 3g + -20g = -17g
24 + -17g = -10

Solving
24 + -17g = -10

Solving for variable 'g'.

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

Add '-24' to each side of the equation.
24 + -24 + -17g = -10 + -24

Combine like terms: 24 + -24 = 0
0 + -17g = -10 + -24
-17g = -10 + -24

Combine like terms: -10 + -24 = -34
-17g = -34

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

Simplifying
g = 2

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