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Simplifying 6(2m + 10) = 30m + -12 Reorder the terms: 6(10 + 2m) = 30m + -12 (10 * 6 + 2m * 6) = 30m + -12 (60 + 12m) = 30m + -12 Reorder the terms: 60 + 12m = -12 + 30m Solving 60 + 12m = -12 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 60 + 12m + -30m = -12 + 30m + -30m Combine like terms: 12m + -30m = -18m 60 + -18m = -12 + 30m + -30m Combine like terms: 30m + -30m = 0 60 + -18m = -12 + 0 60 + -18m = -12 Add '-60' to each side of the equation. 60 + -60 + -18m = -12 + -60 Combine like terms: 60 + -60 = 0 0 + -18m = -12 + -60 -18m = -12 + -60 Combine like terms: -12 + -60 = -72 -18m = -72 Divide each side by '-18'. m = 4 Simplifying m = 4
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