31-(4g+2)=2(7-g)+5g

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Solution for 31-(4g+2)=2(7-g)+5g equation:


Simplifying
31 + -1(4g + 2) = 2(7 + -1g) + 5g

Reorder the terms:
31 + -1(2 + 4g) = 2(7 + -1g) + 5g
31 + (2 * -1 + 4g * -1) = 2(7 + -1g) + 5g
31 + (-2 + -4g) = 2(7 + -1g) + 5g

Combine like terms: 31 + -2 = 29
29 + -4g = 2(7 + -1g) + 5g
29 + -4g = (7 * 2 + -1g * 2) + 5g
29 + -4g = (14 + -2g) + 5g

Combine like terms: -2g + 5g = 3g
29 + -4g = 14 + 3g

Solving
29 + -4g = 14 + 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.
29 + -4g + -3g = 14 + 3g + -3g

Combine like terms: -4g + -3g = -7g
29 + -7g = 14 + 3g + -3g

Combine like terms: 3g + -3g = 0
29 + -7g = 14 + 0
29 + -7g = 14

Add '-29' to each side of the equation.
29 + -29 + -7g = 14 + -29

Combine like terms: 29 + -29 = 0
0 + -7g = 14 + -29
-7g = 14 + -29

Combine like terms: 14 + -29 = -15
-7g = -15

Divide each side by '-7'.
g = 2.142857143

Simplifying
g = 2.142857143

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