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Simplifying 3(4 + -1m) = 5m + 52 (4 * 3 + -1m * 3) = 5m + 52 (12 + -3m) = 5m + 52 Reorder the terms: 12 + -3m = 52 + 5m Solving 12 + -3m = 52 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 12 + -3m + -5m = 52 + 5m + -5m Combine like terms: -3m + -5m = -8m 12 + -8m = 52 + 5m + -5m Combine like terms: 5m + -5m = 0 12 + -8m = 52 + 0 12 + -8m = 52 Add '-12' to each side of the equation. 12 + -12 + -8m = 52 + -12 Combine like terms: 12 + -12 = 0 0 + -8m = 52 + -12 -8m = 52 + -12 Combine like terms: 52 + -12 = 40 -8m = 40 Divide each side by '-8'. m = -5 Simplifying m = -5
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