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Simplifying -3(4g + -6) = -2(g + 1) Reorder the terms: -3(-6 + 4g) = -2(g + 1) (-6 * -3 + 4g * -3) = -2(g + 1) (18 + -12g) = -2(g + 1) Reorder the terms: 18 + -12g = -2(1 + g) 18 + -12g = (1 * -2 + g * -2) 18 + -12g = (-2 + -2g) Solving 18 + -12g = -2 + -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. 18 + -12g + 2g = -2 + -2g + 2g Combine like terms: -12g + 2g = -10g 18 + -10g = -2 + -2g + 2g Combine like terms: -2g + 2g = 0 18 + -10g = -2 + 0 18 + -10g = -2 Add '-18' to each side of the equation. 18 + -18 + -10g = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -10g = -2 + -18 -10g = -2 + -18 Combine like terms: -2 + -18 = -20 -10g = -20 Divide each side by '-10'. g = 2 Simplifying g = 2
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