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Simplifying 30 = -3(8 + 2m) + 6(6 + -2m) 30 = (8 * -3 + 2m * -3) + 6(6 + -2m) 30 = (-24 + -6m) + 6(6 + -2m) 30 = -24 + -6m + (6 * 6 + -2m * 6) 30 = -24 + -6m + (36 + -12m) Reorder the terms: 30 = -24 + 36 + -6m + -12m Combine like terms: -24 + 36 = 12 30 = 12 + -6m + -12m Combine like terms: -6m + -12m = -18m 30 = 12 + -18m Solving 30 = 12 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 30 + 18m = 12 + -18m + 18m Combine like terms: -18m + 18m = 0 30 + 18m = 12 + 0 30 + 18m = 12 Add '-30' to each side of the equation. 30 + -30 + 18m = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 18m = 12 + -30 18m = 12 + -30 Combine like terms: 12 + -30 = -18 18m = -18 Divide each side by '18'. m = -1 Simplifying m = -1
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