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Simplifying 3(m + 5) = 5(11 + -1m) Reorder the terms: 3(5 + m) = 5(11 + -1m) (5 * 3 + m * 3) = 5(11 + -1m) (15 + 3m) = 5(11 + -1m) 15 + 3m = (11 * 5 + -1m * 5) 15 + 3m = (55 + -5m) Solving 15 + 3m = 55 + -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. 15 + 3m + 5m = 55 + -5m + 5m Combine like terms: 3m + 5m = 8m 15 + 8m = 55 + -5m + 5m Combine like terms: -5m + 5m = 0 15 + 8m = 55 + 0 15 + 8m = 55 Add '-15' to each side of the equation. 15 + -15 + 8m = 55 + -15 Combine like terms: 15 + -15 = 0 0 + 8m = 55 + -15 8m = 55 + -15 Combine like terms: 55 + -15 = 40 8m = 40 Divide each side by '8'. m = 5 Simplifying m = 5
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