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Simplifying 2(m + -2) = 5(m + 8) + -17 Reorder the terms: 2(-2 + m) = 5(m + 8) + -17 (-2 * 2 + m * 2) = 5(m + 8) + -17 (-4 + 2m) = 5(m + 8) + -17 Reorder the terms: -4 + 2m = 5(8 + m) + -17 -4 + 2m = (8 * 5 + m * 5) + -17 -4 + 2m = (40 + 5m) + -17 Reorder the terms: -4 + 2m = 40 + -17 + 5m Combine like terms: 40 + -17 = 23 -4 + 2m = 23 + 5m Solving -4 + 2m = 23 + 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. -4 + 2m + -5m = 23 + 5m + -5m Combine like terms: 2m + -5m = -3m -4 + -3m = 23 + 5m + -5m Combine like terms: 5m + -5m = 0 -4 + -3m = 23 + 0 -4 + -3m = 23 Add '4' to each side of the equation. -4 + 4 + -3m = 23 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 23 + 4 -3m = 23 + 4 Combine like terms: 23 + 4 = 27 -3m = 27 Divide each side by '-3'. m = -9 Simplifying m = -9
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