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Simplifying 13 + -1(5m + 4) = 5 + 3m + -12 Reorder the terms: 13 + -1(4 + 5m) = 5 + 3m + -12 13 + (4 * -1 + 5m * -1) = 5 + 3m + -12 13 + (-4 + -5m) = 5 + 3m + -12 Combine like terms: 13 + -4 = 9 9 + -5m = 5 + 3m + -12 Reorder the terms: 9 + -5m = 5 + -12 + 3m Combine like terms: 5 + -12 = -7 9 + -5m = -7 + 3m Solving 9 + -5m = -7 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 9 + -5m + -3m = -7 + 3m + -3m Combine like terms: -5m + -3m = -8m 9 + -8m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + -8m = -7 + 0 9 + -8m = -7 Add '-9' to each side of the equation. 9 + -9 + -8m = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -8m = -7 + -9 -8m = -7 + -9 Combine like terms: -7 + -9 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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