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Simplifying -31 = 5(1 + 4m) + -2m -31 = (1 * 5 + 4m * 5) + -2m -31 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m -31 = 5 + 18m Solving -31 = 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. -31 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 -31 + -18m = 5 + 0 -31 + -18m = 5 Add '31' to each side of the equation. -31 + 31 + -18m = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -18m = 5 + 31 -18m = 5 + 31 Combine like terms: 5 + 31 = 36 -18m = 36 Divide each side by '-18'. m = -2 Simplifying m = -2
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