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Simplifying 8(1 + -5n) = -1(n + -8) (1 * 8 + -5n * 8) = -1(n + -8) (8 + -40n) = -1(n + -8) Reorder the terms: 8 + -40n = -1(-8 + n) 8 + -40n = (-8 * -1 + n * -1) 8 + -40n = (8 + -1n) Add '-8' to each side of the equation. 8 + -8 + -40n = 8 + -8 + -1n Combine like terms: 8 + -8 = 0 0 + -40n = 8 + -8 + -1n -40n = 8 + -8 + -1n Combine like terms: 8 + -8 = 0 -40n = 0 + -1n -40n = -1n Solving -40n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -40n + n = -1n + n Combine like terms: -40n + n = -39n -39n = -1n + n Combine like terms: -1n + n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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