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Simplifying 3(m + 5) + -6 = 4 + 5(m + -1) Reorder the terms: 3(5 + m) + -6 = 4 + 5(m + -1) (5 * 3 + m * 3) + -6 = 4 + 5(m + -1) (15 + 3m) + -6 = 4 + 5(m + -1) Reorder the terms: 15 + -6 + 3m = 4 + 5(m + -1) Combine like terms: 15 + -6 = 9 9 + 3m = 4 + 5(m + -1) Reorder the terms: 9 + 3m = 4 + 5(-1 + m) 9 + 3m = 4 + (-1 * 5 + m * 5) 9 + 3m = 4 + (-5 + 5m) Combine like terms: 4 + -5 = -1 9 + 3m = -1 + 5m Solving 9 + 3m = -1 + 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. 9 + 3m + -5m = -1 + 5m + -5m Combine like terms: 3m + -5m = -2m 9 + -2m = -1 + 5m + -5m Combine like terms: 5m + -5m = 0 9 + -2m = -1 + 0 9 + -2m = -1 Add '-9' to each side of the equation. 9 + -9 + -2m = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = -1 + -9 -2m = -1 + -9 Combine like terms: -1 + -9 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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