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Simplifying -1(-3m + 1) = -1(4m + -6) Reorder the terms: -1(1 + -3m) = -1(4m + -6) (1 * -1 + -3m * -1) = -1(4m + -6) (-1 + 3m) = -1(4m + -6) Reorder the terms: -1 + 3m = -1(-6 + 4m) -1 + 3m = (-6 * -1 + 4m * -1) -1 + 3m = (6 + -4m) Solving -1 + 3m = 6 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -1 + 3m + 4m = 6 + -4m + 4m Combine like terms: 3m + 4m = 7m -1 + 7m = 6 + -4m + 4m Combine like terms: -4m + 4m = 0 -1 + 7m = 6 + 0 -1 + 7m = 6 Add '1' to each side of the equation. -1 + 1 + 7m = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7m = 6 + 1 7m = 6 + 1 Combine like terms: 6 + 1 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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