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Simplifying 2(g + -4) = 8 + -4(-1 + -3g) Reorder the terms: 2(-4 + g) = 8 + -4(-1 + -3g) (-4 * 2 + g * 2) = 8 + -4(-1 + -3g) (-8 + 2g) = 8 + -4(-1 + -3g) -8 + 2g = 8 + (-1 * -4 + -3g * -4) -8 + 2g = 8 + (4 + 12g) Combine like terms: 8 + 4 = 12 -8 + 2g = 12 + 12g Solving -8 + 2g = 12 + 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. -8 + 2g + -12g = 12 + 12g + -12g Combine like terms: 2g + -12g = -10g -8 + -10g = 12 + 12g + -12g Combine like terms: 12g + -12g = 0 -8 + -10g = 12 + 0 -8 + -10g = 12 Add '8' to each side of the equation. -8 + 8 + -10g = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -10g = 12 + 8 -10g = 12 + 8 Combine like terms: 12 + 8 = 20 -10g = 20 Divide each side by '-10'. g = -2 Simplifying g = -2
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