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Simplifying 3(x + 2m + 3) = 0 Reorder the terms: 3(3 + 2m + x) = 0 (3 * 3 + 2m * 3 + x * 3) = 0 (9 + 6m + 3x) = 0 Solving 9 + 6m + 3x = 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 + 6m + -9 + 3x = 0 + -9 Reorder the terms: 9 + -9 + 6m + 3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6m + 3x = 0 + -9 6m + 3x = 0 + -9 Combine like terms: 0 + -9 = -9 6m + 3x = -9 Add '-3x' to each side of the equation. 6m + 3x + -3x = -9 + -3x Combine like terms: 3x + -3x = 0 6m + 0 = -9 + -3x 6m = -9 + -3x Divide each side by '6'. m = -1.5 + -0.5x Simplifying m = -1.5 + -0.5x
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