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Simplifying 2(m + 3) + 3(2m + -1) = 0 Reorder the terms: 2(3 + m) + 3(2m + -1) = 0 (3 * 2 + m * 2) + 3(2m + -1) = 0 (6 + 2m) + 3(2m + -1) = 0 Reorder the terms: 6 + 2m + 3(-1 + 2m) = 0 6 + 2m + (-1 * 3 + 2m * 3) = 0 6 + 2m + (-3 + 6m) = 0 Reorder the terms: 6 + -3 + 2m + 6m = 0 Combine like terms: 6 + -3 = 3 3 + 2m + 6m = 0 Combine like terms: 2m + 6m = 8m 3 + 8m = 0 Solving 3 + 8m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = 0 + -3 8m = 0 + -3 Combine like terms: 0 + -3 = -3 8m = -3 Divide each side by '8'. m = -0.375 Simplifying m = -0.375
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