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Simplifying -5m + 2(m + 2) = m + 4(2m + -5) Reorder the terms: -5m + 2(2 + m) = m + 4(2m + -5) -5m + (2 * 2 + m * 2) = m + 4(2m + -5) -5m + (4 + 2m) = m + 4(2m + -5) Reorder the terms: 4 + -5m + 2m = m + 4(2m + -5) Combine like terms: -5m + 2m = -3m 4 + -3m = m + 4(2m + -5) Reorder the terms: 4 + -3m = m + 4(-5 + 2m) 4 + -3m = m + (-5 * 4 + 2m * 4) 4 + -3m = m + (-20 + 8m) Reorder the terms: 4 + -3m = -20 + m + 8m Combine like terms: m + 8m = 9m 4 + -3m = -20 + 9m Solving 4 + -3m = -20 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 4 + -3m + -9m = -20 + 9m + -9m Combine like terms: -3m + -9m = -12m 4 + -12m = -20 + 9m + -9m Combine like terms: 9m + -9m = 0 4 + -12m = -20 + 0 4 + -12m = -20 Add '-4' to each side of the equation. 4 + -4 + -12m = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -12m = -20 + -4 -12m = -20 + -4 Combine like terms: -20 + -4 = -24 -12m = -24 Divide each side by '-12'. m = 2 Simplifying m = 2
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