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Simplifying -1(2m + 1) = -1(-3m + 6) Reorder the terms: -1(1 + 2m) = -1(-3m + 6) (1 * -1 + 2m * -1) = -1(-3m + 6) (-1 + -2m) = -1(-3m + 6) Reorder the terms: -1 + -2m = -1(6 + -3m) -1 + -2m = (6 * -1 + -3m * -1) -1 + -2m = (-6 + 3m) Solving -1 + -2m = -6 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -1 + -2m + -3m = -6 + 3m + -3m Combine like terms: -2m + -3m = -5m -1 + -5m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 -1 + -5m = -6 + 0 -1 + -5m = -6 Add '1' to each side of the equation. -1 + 1 + -5m = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5m = -6 + 1 -5m = -6 + 1 Combine like terms: -6 + 1 = -5 -5m = -5 Divide each side by '-5'. m = 1 Simplifying m = 1
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