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