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Simplifying -1(9 + -5n) + n = -4n + 71 (9 * -1 + -5n * -1) + n = -4n + 71 (-9 + 5n) + n = -4n + 71 Combine like terms: 5n + n = 6n -9 + 6n = -4n + 71 Reorder the terms: -9 + 6n = 71 + -4n Solving -9 + 6n = 71 + -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. -9 + 6n + 4n = 71 + -4n + 4n Combine like terms: 6n + 4n = 10n -9 + 10n = 71 + -4n + 4n Combine like terms: -4n + 4n = 0 -9 + 10n = 71 + 0 -9 + 10n = 71 Add '9' to each side of the equation. -9 + 9 + 10n = 71 + 9 Combine like terms: -9 + 9 = 0 0 + 10n = 71 + 9 10n = 71 + 9 Combine like terms: 71 + 9 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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