-6(2g-9)+7(g-5)=-g+3(g+4)

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Solution for -6(2g-9)+7(g-5)=-g+3(g+4) equation:


Simplifying
-6(2g + -9) + 7(g + -5) = -1g + 3(g + 4)

Reorder the terms:
-6(-9 + 2g) + 7(g + -5) = -1g + 3(g + 4)
(-9 * -6 + 2g * -6) + 7(g + -5) = -1g + 3(g + 4)
(54 + -12g) + 7(g + -5) = -1g + 3(g + 4)

Reorder the terms:
54 + -12g + 7(-5 + g) = -1g + 3(g + 4)
54 + -12g + (-5 * 7 + g * 7) = -1g + 3(g + 4)
54 + -12g + (-35 + 7g) = -1g + 3(g + 4)

Reorder the terms:
54 + -35 + -12g + 7g = -1g + 3(g + 4)

Combine like terms: 54 + -35 = 19
19 + -12g + 7g = -1g + 3(g + 4)

Combine like terms: -12g + 7g = -5g
19 + -5g = -1g + 3(g + 4)

Reorder the terms:
19 + -5g = -1g + 3(4 + g)
19 + -5g = -1g + (4 * 3 + g * 3)
19 + -5g = -1g + (12 + 3g)

Reorder the terms:
19 + -5g = 12 + -1g + 3g

Combine like terms: -1g + 3g = 2g
19 + -5g = 12 + 2g

Solving
19 + -5g = 12 + 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
19 + -5g + -2g = 12 + 2g + -2g

Combine like terms: -5g + -2g = -7g
19 + -7g = 12 + 2g + -2g

Combine like terms: 2g + -2g = 0
19 + -7g = 12 + 0
19 + -7g = 12

Add '-19' to each side of the equation.
19 + -19 + -7g = 12 + -19

Combine like terms: 19 + -19 = 0
0 + -7g = 12 + -19
-7g = 12 + -19

Combine like terms: 12 + -19 = -7
-7g = -7

Divide each side by '-7'.
g = 1

Simplifying
g = 1

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