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Simplifying 9(n + -9) + -1(5 + -1n) = 0 Reorder the terms: 9(-9 + n) + -1(5 + -1n) = 0 (-9 * 9 + n * 9) + -1(5 + -1n) = 0 (-81 + 9n) + -1(5 + -1n) = 0 -81 + 9n + (5 * -1 + -1n * -1) = 0 -81 + 9n + (-5 + 1n) = 0 Reorder the terms: -81 + -5 + 9n + 1n = 0 Combine like terms: -81 + -5 = -86 -86 + 9n + 1n = 0 Combine like terms: 9n + 1n = 10n -86 + 10n = 0 Solving -86 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + 10n = 0 + 86 Combine like terms: -86 + 86 = 0 0 + 10n = 0 + 86 10n = 0 + 86 Combine like terms: 0 + 86 = 86 10n = 86 Divide each side by '10'. n = 8.6 Simplifying n = 8.6
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