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Simplifying -2(3g + -4) + 6 = -12 + -1(3g + -3) Reorder the terms: -2(-4 + 3g) + 6 = -12 + -1(3g + -3) (-4 * -2 + 3g * -2) + 6 = -12 + -1(3g + -3) (8 + -6g) + 6 = -12 + -1(3g + -3) Reorder the terms: 8 + 6 + -6g = -12 + -1(3g + -3) Combine like terms: 8 + 6 = 14 14 + -6g = -12 + -1(3g + -3) Reorder the terms: 14 + -6g = -12 + -1(-3 + 3g) 14 + -6g = -12 + (-3 * -1 + 3g * -1) 14 + -6g = -12 + (3 + -3g) Combine like terms: -12 + 3 = -9 14 + -6g = -9 + -3g Solving 14 + -6g = -9 + -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. 14 + -6g + 3g = -9 + -3g + 3g Combine like terms: -6g + 3g = -3g 14 + -3g = -9 + -3g + 3g Combine like terms: -3g + 3g = 0 14 + -3g = -9 + 0 14 + -3g = -9 Add '-14' to each side of the equation. 14 + -14 + -3g = -9 + -14 Combine like terms: 14 + -14 = 0 0 + -3g = -9 + -14 -3g = -9 + -14 Combine like terms: -9 + -14 = -23 -3g = -23 Divide each side by '-3'. g = 7.666666667 Simplifying g = 7.666666667
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