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Simplifying 8(n + -9) + -1(5 + -1n) = 0 Reorder the terms: 8(-9 + n) + -1(5 + -1n) = 0 (-9 * 8 + n * 8) + -1(5 + -1n) = 0 (-72 + 8n) + -1(5 + -1n) = 0 -72 + 8n + (5 * -1 + -1n * -1) = 0 -72 + 8n + (-5 + 1n) = 0 Reorder the terms: -72 + -5 + 8n + 1n = 0 Combine like terms: -72 + -5 = -77 -77 + 8n + 1n = 0 Combine like terms: 8n + 1n = 9n -77 + 9n = 0 Solving -77 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 9n = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 9n = 0 + 77 9n = 0 + 77 Combine like terms: 0 + 77 = 77 9n = 77 Divide each side by '9'. n = 8.555555556 Simplifying n = 8.555555556
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