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Simplifying 3(m + 5) + -6 = 5(m + -2) + -7 Reorder the terms: 3(5 + m) + -6 = 5(m + -2) + -7 (5 * 3 + m * 3) + -6 = 5(m + -2) + -7 (15 + 3m) + -6 = 5(m + -2) + -7 Reorder the terms: 15 + -6 + 3m = 5(m + -2) + -7 Combine like terms: 15 + -6 = 9 9 + 3m = 5(m + -2) + -7 Reorder the terms: 9 + 3m = 5(-2 + m) + -7 9 + 3m = (-2 * 5 + m * 5) + -7 9 + 3m = (-10 + 5m) + -7 Reorder the terms: 9 + 3m = -10 + -7 + 5m Combine like terms: -10 + -7 = -17 9 + 3m = -17 + 5m Solving 9 + 3m = -17 + 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 = -17 + 5m + -5m Combine like terms: 3m + -5m = -2m 9 + -2m = -17 + 5m + -5m Combine like terms: 5m + -5m = 0 9 + -2m = -17 + 0 9 + -2m = -17 Add '-9' to each side of the equation. 9 + -9 + -2m = -17 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = -17 + -9 -2m = -17 + -9 Combine like terms: -17 + -9 = -26 -2m = -26 Divide each side by '-2'. m = 13 Simplifying m = 13
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