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Simplifying 4(x + 2m + 6) = 0 Reorder the terms: 4(6 + 2m + x) = 0 (6 * 4 + 2m * 4 + x * 4) = 0 (24 + 8m + 4x) = 0 Solving 24 + 8m + 4x = 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 + 8m + -24 + 4x = 0 + -24 Reorder the terms: 24 + -24 + 8m + 4x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8m + 4x = 0 + -24 8m + 4x = 0 + -24 Combine like terms: 0 + -24 = -24 8m + 4x = -24 Add '-4x' to each side of the equation. 8m + 4x + -4x = -24 + -4x Combine like terms: 4x + -4x = 0 8m + 0 = -24 + -4x 8m = -24 + -4x Divide each side by '8'. m = -3 + -0.5x Simplifying m = -3 + -0.5x
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