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Simplifying 14 + -13 = 5(1 + 4m) + -2m Combine like terms: 14 + -13 = 1 1 = 5(1 + 4m) + -2m 1 = (1 * 5 + 4m * 5) + -2m 1 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m 1 = 5 + 18m Solving 1 = 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. 1 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 1 + -18m = 5 + 0 1 + -18m = 5 Add '-1' to each side of the equation. 1 + -1 + -18m = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -18m = 5 + -1 -18m = 5 + -1 Combine like terms: 5 + -1 = 4 -18m = 4 Divide each side by '-18'. m = -0.2222222222 Simplifying m = -0.2222222222
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