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Simplifying -1(1 + n) = -4(n + 4) (1 * -1 + n * -1) = -4(n + 4) (-1 + -1n) = -4(n + 4) Reorder the terms: -1 + -1n = -4(4 + n) -1 + -1n = (4 * -4 + n * -4) -1 + -1n = (-16 + -4n) Solving -1 + -1n = -16 + -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. -1 + -1n + 4n = -16 + -4n + 4n Combine like terms: -1n + 4n = 3n -1 + 3n = -16 + -4n + 4n Combine like terms: -4n + 4n = 0 -1 + 3n = -16 + 0 -1 + 3n = -16 Add '1' to each side of the equation. -1 + 1 + 3n = -16 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = -16 + 1 3n = -16 + 1 Combine like terms: -16 + 1 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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