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Simplifying 6(1 + -2m) = -6(m + 4) (1 * 6 + -2m * 6) = -6(m + 4) (6 + -12m) = -6(m + 4) Reorder the terms: 6 + -12m = -6(4 + m) 6 + -12m = (4 * -6 + m * -6) 6 + -12m = (-24 + -6m) Solving 6 + -12m = -24 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 6 + -12m + 6m = -24 + -6m + 6m Combine like terms: -12m + 6m = -6m 6 + -6m = -24 + -6m + 6m Combine like terms: -6m + 6m = 0 6 + -6m = -24 + 0 6 + -6m = -24 Add '-6' to each side of the equation. 6 + -6 + -6m = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -6m = -24 + -6 -6m = -24 + -6 Combine like terms: -24 + -6 = -30 -6m = -30 Divide each side by '-6'. m = 5 Simplifying m = 5
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