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Simplifying 2(m + 5) + -2 = 2m + 9 + m Reorder the terms: 2(5 + m) + -2 = 2m + 9 + m (5 * 2 + m * 2) + -2 = 2m + 9 + m (10 + 2m) + -2 = 2m + 9 + m Reorder the terms: 10 + -2 + 2m = 2m + 9 + m Combine like terms: 10 + -2 = 8 8 + 2m = 2m + 9 + m Reorder the terms: 8 + 2m = 9 + 2m + m Combine like terms: 2m + m = 3m 8 + 2m = 9 + 3m Solving 8 + 2m = 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. 8 + 2m + -3m = 9 + 3m + -3m Combine like terms: 2m + -3m = -1m 8 + -1m = 9 + 3m + -3m Combine like terms: 3m + -3m = 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 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1
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