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Simplifying 8(x + 6m + 3) = 0 Reorder the terms: 8(3 + 6m + x) = 0 (3 * 8 + 6m * 8 + x * 8) = 0 (24 + 48m + 8x) = 0 Solving 24 + 48m + 8x = 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 + 48m + -24 + 8x = 0 + -24 Reorder the terms: 24 + -24 + 48m + 8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 48m + 8x = 0 + -24 48m + 8x = 0 + -24 Combine like terms: 0 + -24 = -24 48m + 8x = -24 Add '-8x' to each side of the equation. 48m + 8x + -8x = -24 + -8x Combine like terms: 8x + -8x = 0 48m + 0 = -24 + -8x 48m = -24 + -8x Divide each side by '48'. m = -0.5 + -0.1666666667x Simplifying m = -0.5 + -0.1666666667x
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