3-4g=5(g-3)

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Solution for 3-4g=5(g-3) equation:


Simplifying
3 + -4g = 5(g + -3)

Reorder the terms:
3 + -4g = 5(-3 + g)
3 + -4g = (-3 * 5 + g * 5)
3 + -4g = (-15 + 5g)

Solving
3 + -4g = -15 + 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.
3 + -4g + -5g = -15 + 5g + -5g

Combine like terms: -4g + -5g = -9g
3 + -9g = -15 + 5g + -5g

Combine like terms: 5g + -5g = 0
3 + -9g = -15 + 0
3 + -9g = -15

Add '-3' to each side of the equation.
3 + -3 + -9g = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -9g = -15 + -3
-9g = -15 + -3

Combine like terms: -15 + -3 = -18
-9g = -18

Divide each side by '-9'.
g = 2

Simplifying
g = 2

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