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Simplifying 5m + 9 = 3(m + -5) + 6 Reorder the terms: 9 + 5m = 3(m + -5) + 6 Reorder the terms: 9 + 5m = 3(-5 + m) + 6 9 + 5m = (-5 * 3 + m * 3) + 6 9 + 5m = (-15 + 3m) + 6 Reorder the terms: 9 + 5m = -15 + 6 + 3m Combine like terms: -15 + 6 = -9 9 + 5m = -9 + 3m Solving 9 + 5m = -9 + 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. 9 + 5m + -3m = -9 + 3m + -3m Combine like terms: 5m + -3m = 2m 9 + 2m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + 2m = -9 + 0 9 + 2m = -9 Add '-9' to each side of the equation. 9 + -9 + 2m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = -9 + -9 2m = -9 + -9 Combine like terms: -9 + -9 = -18 2m = -18 Divide each side by '2'. m = -9 Simplifying m = -9
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