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