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Simplifying 13 = 5(1 + 4m) + -2m 13 = (1 * 5 + 4m * 5) + -2m 13 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m 13 = 5 + 18m Solving 13 = 5 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 13 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 13 + -18m = 5 + 0 13 + -18m = 5 Add '-13' to each side of the equation. 13 + -13 + -18m = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -18m = 5 + -13 -18m = 5 + -13 Combine like terms: 5 + -13 = -8 -18m = -8 Divide each side by '-18'. m = 0.4444444444 Simplifying m = 0.4444444444
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