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Simplifying 5(m + 6) = -2m + 9 Reorder the terms: 5(6 + m) = -2m + 9 (6 * 5 + m * 5) = -2m + 9 (30 + 5m) = -2m + 9 Reorder the terms: 30 + 5m = 9 + -2m Solving 30 + 5m = 9 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 30 + 5m + 2m = 9 + -2m + 2m Combine like terms: 5m + 2m = 7m 30 + 7m = 9 + -2m + 2m Combine like terms: -2m + 2m = 0 30 + 7m = 9 + 0 30 + 7m = 9 Add '-30' to each side of the equation. 30 + -30 + 7m = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 7m = 9 + -30 7m = 9 + -30 Combine like terms: 9 + -30 = -21 7m = -21 Divide each side by '7'. m = -3 Simplifying m = -3
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