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Simplifying 2(3m + -4) + -5(m + -2) = 4(m + 1) Reorder the terms: 2(-4 + 3m) + -5(m + -2) = 4(m + 1) (-4 * 2 + 3m * 2) + -5(m + -2) = 4(m + 1) (-8 + 6m) + -5(m + -2) = 4(m + 1) Reorder the terms: -8 + 6m + -5(-2 + m) = 4(m + 1) -8 + 6m + (-2 * -5 + m * -5) = 4(m + 1) -8 + 6m + (10 + -5m) = 4(m + 1) Reorder the terms: -8 + 10 + 6m + -5m = 4(m + 1) Combine like terms: -8 + 10 = 2 2 + 6m + -5m = 4(m + 1) Combine like terms: 6m + -5m = 1m 2 + 1m = 4(m + 1) Reorder the terms: 2 + 1m = 4(1 + m) 2 + 1m = (1 * 4 + m * 4) 2 + 1m = (4 + 4m) Solving 2 + 1m = 4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 2 + 1m + -4m = 4 + 4m + -4m Combine like terms: 1m + -4m = -3m 2 + -3m = 4 + 4m + -4m Combine like terms: 4m + -4m = 0 2 + -3m = 4 + 0 2 + -3m = 4 Add '-2' to each side of the equation. 2 + -2 + -3m = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 4 + -2 -3m = 4 + -2 Combine like terms: 4 + -2 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667
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