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

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


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

Reorder the terms:
3(1 + 4g) + g = 8 + -1(3g + 2)
(1 * 3 + 4g * 3) + g = 8 + -1(3g + 2)
(3 + 12g) + g = 8 + -1(3g + 2)

Combine like terms: 12g + g = 13g
3 + 13g = 8 + -1(3g + 2)

Reorder the terms:
3 + 13g = 8 + -1(2 + 3g)
3 + 13g = 8 + (2 * -1 + 3g * -1)
3 + 13g = 8 + (-2 + -3g)

Combine like terms: 8 + -2 = 6
3 + 13g = 6 + -3g

Solving
3 + 13g = 6 + -3g

Solving for variable 'g'.

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

Add '3g' to each side of the equation.
3 + 13g + 3g = 6 + -3g + 3g

Combine like terms: 13g + 3g = 16g
3 + 16g = 6 + -3g + 3g

Combine like terms: -3g + 3g = 0
3 + 16g = 6 + 0
3 + 16g = 6

Add '-3' to each side of the equation.
3 + -3 + 16g = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 16g = 6 + -3
16g = 6 + -3

Combine like terms: 6 + -3 = 3
16g = 3

Divide each side by '16'.
g = 0.1875

Simplifying
g = 0.1875

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