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Simplifying 2(m + -5) = 5(m + 5) + -17 Reorder the terms: 2(-5 + m) = 5(m + 5) + -17 (-5 * 2 + m * 2) = 5(m + 5) + -17 (-10 + 2m) = 5(m + 5) + -17 Reorder the terms: -10 + 2m = 5(5 + m) + -17 -10 + 2m = (5 * 5 + m * 5) + -17 -10 + 2m = (25 + 5m) + -17 Reorder the terms: -10 + 2m = 25 + -17 + 5m Combine like terms: 25 + -17 = 8 -10 + 2m = 8 + 5m Solving -10 + 2m = 8 + 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. -10 + 2m + -5m = 8 + 5m + -5m Combine like terms: 2m + -5m = -3m -10 + -3m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 -10 + -3m = 8 + 0 -10 + -3m = 8 Add '10' to each side of the equation. -10 + 10 + -3m = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -3m = 8 + 10 -3m = 8 + 10 Combine like terms: 8 + 10 = 18 -3m = 18 Divide each side by '-3'. m = -6 Simplifying m = -6
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