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Simplifying 2(m + -5) = 5(m + 3) + -13 Reorder the terms: 2(-5 + m) = 5(m + 3) + -13 (-5 * 2 + m * 2) = 5(m + 3) + -13 (-10 + 2m) = 5(m + 3) + -13 Reorder the terms: -10 + 2m = 5(3 + m) + -13 -10 + 2m = (3 * 5 + m * 5) + -13 -10 + 2m = (15 + 5m) + -13 Reorder the terms: -10 + 2m = 15 + -13 + 5m Combine like terms: 15 + -13 = 2 -10 + 2m = 2 + 5m Solving -10 + 2m = 2 + 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 = 2 + 5m + -5m Combine like terms: 2m + -5m = -3m -10 + -3m = 2 + 5m + -5m Combine like terms: 5m + -5m = 0 -10 + -3m = 2 + 0 -10 + -3m = 2 Add '10' to each side of the equation. -10 + 10 + -3m = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -3m = 2 + 10 -3m = 2 + 10 Combine like terms: 2 + 10 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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