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Simplifying -8m + 4(1 + 5m) = -6m + -14 -8m + (1 * 4 + 5m * 4) = -6m + -14 -8m + (4 + 20m) = -6m + -14 Reorder the terms: 4 + -8m + 20m = -6m + -14 Combine like terms: -8m + 20m = 12m 4 + 12m = -6m + -14 Reorder the terms: 4 + 12m = -14 + -6m Solving 4 + 12m = -14 + -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. 4 + 12m + 6m = -14 + -6m + 6m Combine like terms: 12m + 6m = 18m 4 + 18m = -14 + -6m + 6m Combine like terms: -6m + 6m = 0 4 + 18m = -14 + 0 4 + 18m = -14 Add '-4' to each side of the equation. 4 + -4 + 18m = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 18m = -14 + -4 18m = -14 + -4 Combine like terms: -14 + -4 = -18 18m = -18 Divide each side by '18'. m = -1 Simplifying m = -1
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