3g-2(g-4)=8(g-1)

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Solution for 3g-2(g-4)=8(g-1) equation:


Simplifying
3g + -2(g + -4) = 8(g + -1)

Reorder the terms:
3g + -2(-4 + g) = 8(g + -1)
3g + (-4 * -2 + g * -2) = 8(g + -1)
3g + (8 + -2g) = 8(g + -1)

Reorder the terms:
8 + 3g + -2g = 8(g + -1)

Combine like terms: 3g + -2g = 1g
8 + 1g = 8(g + -1)

Reorder the terms:
8 + 1g = 8(-1 + g)
8 + 1g = (-1 * 8 + g * 8)
8 + 1g = (-8 + 8g)

Solving
8 + 1g = -8 + 8g

Solving for variable 'g'.

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

Add '-8g' to each side of the equation.
8 + 1g + -8g = -8 + 8g + -8g

Combine like terms: 1g + -8g = -7g
8 + -7g = -8 + 8g + -8g

Combine like terms: 8g + -8g = 0
8 + -7g = -8 + 0
8 + -7g = -8

Add '-8' to each side of the equation.
8 + -8 + -7g = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -7g = -8 + -8
-7g = -8 + -8

Combine like terms: -8 + -8 = -16
-7g = -16

Divide each side by '-7'.
g = 2.285714286

Simplifying
g = 2.285714286

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