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Simplifying -1(6m + -3) + 6(1 + 4m) = 0 Reorder the terms: -1(-3 + 6m) + 6(1 + 4m) = 0 (-3 * -1 + 6m * -1) + 6(1 + 4m) = 0 (3 + -6m) + 6(1 + 4m) = 0 3 + -6m + (1 * 6 + 4m * 6) = 0 3 + -6m + (6 + 24m) = 0 Reorder the terms: 3 + 6 + -6m + 24m = 0 Combine like terms: 3 + 6 = 9 9 + -6m + 24m = 0 Combine like terms: -6m + 24m = 18m 9 + 18m = 0 Solving 9 + 18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 18m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 18m = 0 + -9 18m = 0 + -9 Combine like terms: 0 + -9 = -9 18m = -9 Divide each side by '18'. m = -0.5 Simplifying m = -0.5
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