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Simplifying -5(-3 + 12g) = 3(-19g + 17) (-3 * -5 + 12g * -5) = 3(-19g + 17) (15 + -60g) = 3(-19g + 17) Reorder the terms: 15 + -60g = 3(17 + -19g) 15 + -60g = (17 * 3 + -19g * 3) 15 + -60g = (51 + -57g) Solving 15 + -60g = 51 + -57g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '57g' to each side of the equation. 15 + -60g + 57g = 51 + -57g + 57g Combine like terms: -60g + 57g = -3g 15 + -3g = 51 + -57g + 57g Combine like terms: -57g + 57g = 0 15 + -3g = 51 + 0 15 + -3g = 51 Add '-15' to each side of the equation. 15 + -15 + -3g = 51 + -15 Combine like terms: 15 + -15 = 0 0 + -3g = 51 + -15 -3g = 51 + -15 Combine like terms: 51 + -15 = 36 -3g = 36 Divide each side by '-3'. g = -12 Simplifying g = -12
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