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Simplifying -4(m + 5) + 2m = 3(m + 2) Reorder the terms: -4(5 + m) + 2m = 3(m + 2) (5 * -4 + m * -4) + 2m = 3(m + 2) (-20 + -4m) + 2m = 3(m + 2) Combine like terms: -4m + 2m = -2m -20 + -2m = 3(m + 2) Reorder the terms: -20 + -2m = 3(2 + m) -20 + -2m = (2 * 3 + m * 3) -20 + -2m = (6 + 3m) Solving -20 + -2m = 6 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -20 + -2m + -3m = 6 + 3m + -3m Combine like terms: -2m + -3m = -5m -20 + -5m = 6 + 3m + -3m Combine like terms: 3m + -3m = 0 -20 + -5m = 6 + 0 -20 + -5m = 6 Add '20' to each side of the equation. -20 + 20 + -5m = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -5m = 6 + 20 -5m = 6 + 20 Combine like terms: 6 + 20 = 26 -5m = 26 Divide each side by '-5'. m = -5.2 Simplifying m = -5.2
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