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