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Simplifying 2(m + -5) = 5(m + 1) + -9 Reorder the terms: 2(-5 + m) = 5(m + 1) + -9 (-5 * 2 + m * 2) = 5(m + 1) + -9 (-10 + 2m) = 5(m + 1) + -9 Reorder the terms: -10 + 2m = 5(1 + m) + -9 -10 + 2m = (1 * 5 + m * 5) + -9 -10 + 2m = (5 + 5m) + -9 Reorder the terms: -10 + 2m = 5 + -9 + 5m Combine like terms: 5 + -9 = -4 -10 + 2m = -4 + 5m Solving -10 + 2m = -4 + 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 = -4 + 5m + -5m Combine like terms: 2m + -5m = -3m -10 + -3m = -4 + 5m + -5m Combine like terms: 5m + -5m = 0 -10 + -3m = -4 + 0 -10 + -3m = -4 Add '10' to each side of the equation. -10 + 10 + -3m = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -3m = -4 + 10 -3m = -4 + 10 Combine like terms: -4 + 10 = 6 -3m = 6 Divide each side by '-3'. m = -2 Simplifying m = -2
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