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Simplifying -1(n + 1) = -1(1 + 4n) Reorder the terms: -1(1 + n) = -1(1 + 4n) (1 * -1 + n * -1) = -1(1 + 4n) (-1 + -1n) = -1(1 + 4n) -1 + -1n = (1 * -1 + 4n * -1) -1 + -1n = (-1 + -4n) Add '1' to each side of the equation. -1 + 1 + -1n = -1 + 1 + -4n Combine like terms: -1 + 1 = 0 0 + -1n = -1 + 1 + -4n -1n = -1 + 1 + -4n Combine like terms: -1 + 1 = 0 -1n = 0 + -4n -1n = -4n Solving -1n = -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. -1n + 4n = -4n + 4n Combine like terms: -1n + 4n = 3n 3n = -4n + 4n Combine like terms: -4n + 4n = 0 3n = 0 Divide each side by '3'. n = 0 Simplifying n = 0
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