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Simplifying -3(m + 1) + -2(m + -3) + 5(2m + 1) = 0 Reorder the terms: -3(1 + m) + -2(m + -3) + 5(2m + 1) = 0 (1 * -3 + m * -3) + -2(m + -3) + 5(2m + 1) = 0 (-3 + -3m) + -2(m + -3) + 5(2m + 1) = 0 Reorder the terms: -3 + -3m + -2(-3 + m) + 5(2m + 1) = 0 -3 + -3m + (-3 * -2 + m * -2) + 5(2m + 1) = 0 -3 + -3m + (6 + -2m) + 5(2m + 1) = 0 Reorder the terms: -3 + -3m + 6 + -2m + 5(1 + 2m) = 0 -3 + -3m + 6 + -2m + (1 * 5 + 2m * 5) = 0 -3 + -3m + 6 + -2m + (5 + 10m) = 0 Reorder the terms: -3 + 6 + 5 + -3m + -2m + 10m = 0 Combine like terms: -3 + 6 = 3 3 + 5 + -3m + -2m + 10m = 0 Combine like terms: 3 + 5 = 8 8 + -3m + -2m + 10m = 0 Combine like terms: -3m + -2m = -5m 8 + -5m + 10m = 0 Combine like terms: -5m + 10m = 5m 8 + 5m = 0 Solving 8 + 5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 0 + -8 5m = 0 + -8 Combine like terms: 0 + -8 = -8 5m = -8 Divide each side by '5'. m = -1.6 Simplifying m = -1.6
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