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Simplifying -2(m + 3) + -3(m + -1) + 8(m + 4) = 0 Reorder the terms: -2(3 + m) + -3(m + -1) + 8(m + 4) = 0 (3 * -2 + m * -2) + -3(m + -1) + 8(m + 4) = 0 (-6 + -2m) + -3(m + -1) + 8(m + 4) = 0 Reorder the terms: -6 + -2m + -3(-1 + m) + 8(m + 4) = 0 -6 + -2m + (-1 * -3 + m * -3) + 8(m + 4) = 0 -6 + -2m + (3 + -3m) + 8(m + 4) = 0 Reorder the terms: -6 + -2m + 3 + -3m + 8(4 + m) = 0 -6 + -2m + 3 + -3m + (4 * 8 + m * 8) = 0 -6 + -2m + 3 + -3m + (32 + 8m) = 0 Reorder the terms: -6 + 3 + 32 + -2m + -3m + 8m = 0 Combine like terms: -6 + 3 = -3 -3 + 32 + -2m + -3m + 8m = 0 Combine like terms: -3 + 32 = 29 29 + -2m + -3m + 8m = 0 Combine like terms: -2m + -3m = -5m 29 + -5m + 8m = 0 Combine like terms: -5m + 8m = 3m 29 + 3m = 0 Solving 29 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3m = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 3m = 0 + -29 3m = 0 + -29 Combine like terms: 0 + -29 = -29 3m = -29 Divide each side by '3'. m = -9.666666667 Simplifying m = -9.666666667
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