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Simplifying 13 + -1(5m + 3) = 4 + 3m + -18 Reorder the terms: 13 + -1(3 + 5m) = 4 + 3m + -18 13 + (3 * -1 + 5m * -1) = 4 + 3m + -18 13 + (-3 + -5m) = 4 + 3m + -18 Combine like terms: 13 + -3 = 10 10 + -5m = 4 + 3m + -18 Reorder the terms: 10 + -5m = 4 + -18 + 3m Combine like terms: 4 + -18 = -14 10 + -5m = -14 + 3m Solving 10 + -5m = -14 + 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. 10 + -5m + -3m = -14 + 3m + -3m Combine like terms: -5m + -3m = -8m 10 + -8m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -8m = -14 + 0 10 + -8m = -14 Add '-10' to each side of the equation. 10 + -10 + -8m = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8m = -14 + -10 -8m = -14 + -10 Combine like terms: -14 + -10 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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