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Simplifying 2(1 + -3m) = 8(-2m + -1) (1 * 2 + -3m * 2) = 8(-2m + -1) (2 + -6m) = 8(-2m + -1) Reorder the terms: 2 + -6m = 8(-1 + -2m) 2 + -6m = (-1 * 8 + -2m * 8) 2 + -6m = (-8 + -16m) Solving 2 + -6m = -8 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 2 + -6m + 16m = -8 + -16m + 16m Combine like terms: -6m + 16m = 10m 2 + 10m = -8 + -16m + 16m Combine like terms: -16m + 16m = 0 2 + 10m = -8 + 0 2 + 10m = -8 Add '-2' to each side of the equation. 2 + -2 + 10m = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 10m = -8 + -2 10m = -8 + -2 Combine like terms: -8 + -2 = -10 10m = -10 Divide each side by '10'. m = -1 Simplifying m = -1
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