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Simplifying 5(m + 2) + -2 = 6m + -9 Reorder the terms: 5(2 + m) + -2 = 6m + -9 (2 * 5 + m * 5) + -2 = 6m + -9 (10 + 5m) + -2 = 6m + -9 Reorder the terms: 10 + -2 + 5m = 6m + -9 Combine like terms: 10 + -2 = 8 8 + 5m = 6m + -9 Reorder the terms: 8 + 5m = -9 + 6m Solving 8 + 5m = -9 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 8 + 5m + -6m = -9 + 6m + -6m Combine like terms: 5m + -6m = -1m 8 + -1m = -9 + 6m + -6m Combine like terms: 6m + -6m = 0 8 + -1m = -9 + 0 8 + -1m = -9 Add '-8' to each side of the equation. 8 + -8 + -1m = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = -9 + -8 -1m = -9 + -8 Combine like terms: -9 + -8 = -17 -1m = -17 Divide each side by '-1'. m = 17 Simplifying m = 17
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