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Simplifying 6(5 + m) = 5(1 + m) (5 * 6 + m * 6) = 5(1 + m) (30 + 6m) = 5(1 + m) 30 + 6m = (1 * 5 + m * 5) 30 + 6m = (5 + 5m) Solving 30 + 6m = 5 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 30 + 6m + -5m = 5 + 5m + -5m Combine like terms: 6m + -5m = 1m 30 + 1m = 5 + 5m + -5m Combine like terms: 5m + -5m = 0 30 + 1m = 5 + 0 30 + 1m = 5 Add '-30' to each side of the equation. 30 + -30 + 1m = 5 + -30 Combine like terms: 30 + -30 = 0 0 + 1m = 5 + -30 1m = 5 + -30 Combine like terms: 5 + -30 = -25 1m = -25 Divide each side by '1'. m = -25 Simplifying m = -25
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