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Simplifying 12(3m + 5) = -6(4m + 24) Reorder the terms: 12(5 + 3m) = -6(4m + 24) (5 * 12 + 3m * 12) = -6(4m + 24) (60 + 36m) = -6(4m + 24) Reorder the terms: 60 + 36m = -6(24 + 4m) 60 + 36m = (24 * -6 + 4m * -6) 60 + 36m = (-144 + -24m) Solving 60 + 36m = -144 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. 60 + 36m + 24m = -144 + -24m + 24m Combine like terms: 36m + 24m = 60m 60 + 60m = -144 + -24m + 24m Combine like terms: -24m + 24m = 0 60 + 60m = -144 + 0 60 + 60m = -144 Add '-60' to each side of the equation. 60 + -60 + 60m = -144 + -60 Combine like terms: 60 + -60 = 0 0 + 60m = -144 + -60 60m = -144 + -60 Combine like terms: -144 + -60 = -204 60m = -204 Divide each side by '60'. m = -3.4 Simplifying m = -3.4
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