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Simplifying 9(6 + -2m) = -12(m + -8) (6 * 9 + -2m * 9) = -12(m + -8) (54 + -18m) = -12(m + -8) Reorder the terms: 54 + -18m = -12(-8 + m) 54 + -18m = (-8 * -12 + m * -12) 54 + -18m = (96 + -12m) Solving 54 + -18m = 96 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 54 + -18m + 12m = 96 + -12m + 12m Combine like terms: -18m + 12m = -6m 54 + -6m = 96 + -12m + 12m Combine like terms: -12m + 12m = 0 54 + -6m = 96 + 0 54 + -6m = 96 Add '-54' to each side of the equation. 54 + -54 + -6m = 96 + -54 Combine like terms: 54 + -54 = 0 0 + -6m = 96 + -54 -6m = 96 + -54 Combine like terms: 96 + -54 = 42 -6m = 42 Divide each side by '-6'. m = -7 Simplifying m = -7
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