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

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


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

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

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

Combine like terms: 12 + 3 = 15
15 + 8g + -2g = 2g + 2 + -3(2g + 2)

Combine like terms: 8g + -2g = 6g
15 + 6g = 2g + 2 + -3(2g + 2)

Reorder the terms:
15 + 6g = 2g + 2 + -3(2 + 2g)
15 + 6g = 2g + 2 + (2 * -3 + 2g * -3)
15 + 6g = 2g + 2 + (-6 + -6g)

Reorder the terms:
15 + 6g = 2 + -6 + 2g + -6g

Combine like terms: 2 + -6 = -4
15 + 6g = -4 + 2g + -6g

Combine like terms: 2g + -6g = -4g
15 + 6g = -4 + -4g

Solving
15 + 6g = -4 + -4g

Solving for variable 'g'.

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

Add '4g' to each side of the equation.
15 + 6g + 4g = -4 + -4g + 4g

Combine like terms: 6g + 4g = 10g
15 + 10g = -4 + -4g + 4g

Combine like terms: -4g + 4g = 0
15 + 10g = -4 + 0
15 + 10g = -4

Add '-15' to each side of the equation.
15 + -15 + 10g = -4 + -15

Combine like terms: 15 + -15 = 0
0 + 10g = -4 + -15
10g = -4 + -15

Combine like terms: -4 + -15 = -19
10g = -19

Divide each side by '10'.
g = -1.9

Simplifying
g = -1.9

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