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Simplifying 2m + -6(1 + -2m) = 6m + 18 2m + (1 * -6 + -2m * -6) = 6m + 18 2m + (-6 + 12m) = 6m + 18 Reorder the terms: -6 + 2m + 12m = 6m + 18 Combine like terms: 2m + 12m = 14m -6 + 14m = 6m + 18 Reorder the terms: -6 + 14m = 18 + 6m Solving -6 + 14m = 18 + 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 + 14m + -6m = 18 + 6m + -6m Combine like terms: 14m + -6m = 8m -6 + 8m = 18 + 6m + -6m Combine like terms: 6m + -6m = 0 -6 + 8m = 18 + 0 -6 + 8m = 18 Add '6' to each side of the equation. -6 + 6 + 8m = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 8m = 18 + 6 8m = 18 + 6 Combine like terms: 18 + 6 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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