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Simplifying 4(m + -1) + 2(3 + -4m) = -5(m + 2) + 2 Reorder the terms: 4(-1 + m) + 2(3 + -4m) = -5(m + 2) + 2 (-1 * 4 + m * 4) + 2(3 + -4m) = -5(m + 2) + 2 (-4 + 4m) + 2(3 + -4m) = -5(m + 2) + 2 -4 + 4m + (3 * 2 + -4m * 2) = -5(m + 2) + 2 -4 + 4m + (6 + -8m) = -5(m + 2) + 2 Reorder the terms: -4 + 6 + 4m + -8m = -5(m + 2) + 2 Combine like terms: -4 + 6 = 2 2 + 4m + -8m = -5(m + 2) + 2 Combine like terms: 4m + -8m = -4m 2 + -4m = -5(m + 2) + 2 Reorder the terms: 2 + -4m = -5(2 + m) + 2 2 + -4m = (2 * -5 + m * -5) + 2 2 + -4m = (-10 + -5m) + 2 Reorder the terms: 2 + -4m = -10 + 2 + -5m Combine like terms: -10 + 2 = -8 2 + -4m = -8 + -5m Solving 2 + -4m = -8 + -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. 2 + -4m + 5m = -8 + -5m + 5m Combine like terms: -4m + 5m = 1m 2 + 1m = -8 + -5m + 5m Combine like terms: -5m + 5m = 0 2 + 1m = -8 + 0 2 + 1m = -8 Add '-2' to each side of the equation. 2 + -2 + 1m = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = -8 + -2 1m = -8 + -2 Combine like terms: -8 + -2 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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