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Simplifying 4(n + 1) = -1(8 + -1n) Reorder the terms: 4(1 + n) = -1(8 + -1n) (1 * 4 + n * 4) = -1(8 + -1n) (4 + 4n) = -1(8 + -1n) 4 + 4n = (8 * -1 + -1n * -1) 4 + 4n = (-8 + 1n) Solving 4 + 4n = -8 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 4 + 4n + -1n = -8 + 1n + -1n Combine like terms: 4n + -1n = 3n 4 + 3n = -8 + 1n + -1n Combine like terms: 1n + -1n = 0 4 + 3n = -8 + 0 4 + 3n = -8 Add '-4' to each side of the equation. 4 + -4 + 3n = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = -8 + -4 3n = -8 + -4 Combine like terms: -8 + -4 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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