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Simplifying 6(x + 2m + 4) = 0 Reorder the terms: 6(4 + 2m + x) = 0 (4 * 6 + 2m * 6 + x * 6) = 0 (24 + 12m + 6x) = 0 Solving 24 + 12m + 6x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 12m + -24 + 6x = 0 + -24 Reorder the terms: 24 + -24 + 12m + 6x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12m + 6x = 0 + -24 12m + 6x = 0 + -24 Combine like terms: 0 + -24 = -24 12m + 6x = -24 Add '-6x' to each side of the equation. 12m + 6x + -6x = -24 + -6x Combine like terms: 6x + -6x = 0 12m + 0 = -24 + -6x 12m = -24 + -6x Divide each side by '12'. m = -2 + -0.5x Simplifying m = -2 + -0.5x
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