2(4-g)-3(2g-6)=8(3g-1)-11(g-5)

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Solution for 2(4-g)-3(2g-6)=8(3g-1)-11(g-5) equation: 


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

Reorder the terms:
8 + -2g + -3(-6 + 2g) = 8(3g + -1) + -11(g + -5)
8 + -2g + (-6 * -3 + 2g * -3) = 8(3g + -1) + -11(g + -5)
8 + -2g + (18 + -6g) = 8(3g + -1) + -11(g + -5)

Reorder the terms:
8 + 18 + -2g + -6g = 8(3g + -1) + -11(g + -5)

Combine like terms: 8 + 18 = 26
26 + -2g + -6g = 8(3g + -1) + -11(g + -5)

Combine like terms: -2g + -6g = -8g
26 + -8g = 8(3g + -1) + -11(g + -5)

Reorder the terms:
26 + -8g = 8(-1 + 3g) + -11(g + -5)
26 + -8g = (-1 * 8 + 3g * 8) + -11(g + -5)
26 + -8g = (-8 + 24g) + -11(g + -5)

Reorder the terms:
26 + -8g = -8 + 24g + -11(-5 + g)
26 + -8g = -8 + 24g + (-5 * -11 + g * -11)
26 + -8g = -8 + 24g + (55 + -11g)

Reorder the terms:
26 + -8g = -8 + 55 + 24g + -11g

Combine like terms: -8 + 55 = 47
26 + -8g = 47 + 24g + -11g

Combine like terms: 24g + -11g = 13g
26 + -8g = 47 + 13g

Solving
26 + -8g = 47 + 13g

Solving for variable 'g'.

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

Add '-13g' to each side of the equation.
26 + -8g + -13g = 47 + 13g + -13g

Combine like terms: -8g + -13g = -21g
26 + -21g = 47 + 13g + -13g

Combine like terms: 13g + -13g = 0
26 + -21g = 47 + 0
26 + -21g = 47

Add '-26' to each side of the equation.
26 + -26 + -21g = 47 + -26

Combine like terms: 26 + -26 = 0
0 + -21g = 47 + -26
-21g = 47 + -26

Combine like terms: 47 + -26 = 21
-21g = 21

Divide each side by '-21'.
g = -1

Simplifying
g = -1

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