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