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Simplifying -2(4m + -9) = 4(-2m + 6) + -6m Reorder the terms: -2(-9 + 4m) = 4(-2m + 6) + -6m (-9 * -2 + 4m * -2) = 4(-2m + 6) + -6m (18 + -8m) = 4(-2m + 6) + -6m Reorder the terms: 18 + -8m = 4(6 + -2m) + -6m 18 + -8m = (6 * 4 + -2m * 4) + -6m 18 + -8m = (24 + -8m) + -6m Combine like terms: -8m + -6m = -14m 18 + -8m = 24 + -14m Solving 18 + -8m = 24 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. 18 + -8m + 14m = 24 + -14m + 14m Combine like terms: -8m + 14m = 6m 18 + 6m = 24 + -14m + 14m Combine like terms: -14m + 14m = 0 18 + 6m = 24 + 0 18 + 6m = 24 Add '-18' to each side of the equation. 18 + -18 + 6m = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 6m = 24 + -18 6m = 24 + -18 Combine like terms: 24 + -18 = 6 6m = 6 Divide each side by '6'. m = 1 Simplifying m = 1
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