-17g-6g+4(2g+3)=-(g+11)4-(8g-5)

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Solution for -17g-6g+4(2g+3)=-(g+11)4-(8g-5) equation: 


Simplifying
-17g + -6g + 4(2g + 3) = -1(g + 11) * 4 + -1(8g + -5)

Reorder the terms:
-17g + -6g + 4(3 + 2g) = -1(g + 11) * 4 + -1(8g + -5)
-17g + -6g + (3 * 4 + 2g * 4) = -1(g + 11) * 4 + -1(8g + -5)
-17g + -6g + (12 + 8g) = -1(g + 11) * 4 + -1(8g + -5)

Reorder the terms:
12 + -17g + -6g + 8g = -1(g + 11) * 4 + -1(8g + -5)

Combine like terms: -17g + -6g = -23g
12 + -23g + 8g = -1(g + 11) * 4 + -1(8g + -5)

Combine like terms: -23g + 8g = -15g
12 + -15g = -1(g + 11) * 4 + -1(8g + -5)

Reorder the terms:
12 + -15g = -1(11 + g) * 4 + -1(8g + -5)

Reorder the terms for easier multiplication:
12 + -15g = -1 * 4(11 + g) + -1(8g + -5)

Multiply -1 * 4
12 + -15g = -4(11 + g) + -1(8g + -5)
12 + -15g = (11 * -4 + g * -4) + -1(8g + -5)
12 + -15g = (-44 + -4g) + -1(8g + -5)

Reorder the terms:
12 + -15g = -44 + -4g + -1(-5 + 8g)
12 + -15g = -44 + -4g + (-5 * -1 + 8g * -1)
12 + -15g = -44 + -4g + (5 + -8g)

Reorder the terms:
12 + -15g = -44 + 5 + -4g + -8g

Combine like terms: -44 + 5 = -39
12 + -15g = -39 + -4g + -8g

Combine like terms: -4g + -8g = -12g
12 + -15g = -39 + -12g

Solving
12 + -15g = -39 + -12g

Solving for variable 'g'.

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

Add '12g' to each side of the equation.
12 + -15g + 12g = -39 + -12g + 12g

Combine like terms: -15g + 12g = -3g
12 + -3g = -39 + -12g + 12g

Combine like terms: -12g + 12g = 0
12 + -3g = -39 + 0
12 + -3g = -39

Add '-12' to each side of the equation.
12 + -12 + -3g = -39 + -12

Combine like terms: 12 + -12 = 0
0 + -3g = -39 + -12
-3g = -39 + -12

Combine like terms: -39 + -12 = -51
-3g = -51

Divide each side by '-3'.
g = 17

Simplifying
g = 17

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