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Simplifying 5(1 + 4m) = -13 + 2m (1 * 5 + 4m * 5) = -13 + 2m (5 + 20m) = -13 + 2m Solving 5 + 20m = -13 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 5 + 20m + -2m = -13 + 2m + -2m Combine like terms: 20m + -2m = 18m 5 + 18m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + 18m = -13 + 0 5 + 18m = -13 Add '-5' to each side of the equation. 5 + -5 + 18m = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 18m = -13 + -5 18m = -13 + -5 Combine like terms: -13 + -5 = -18 18m = -18 Divide each side by '18'. m = -1 Simplifying m = -1
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