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Simplifying 8(n + -11) = 5(-6n + 7) + -9 Reorder the terms: 8(-11 + n) = 5(-6n + 7) + -9 (-11 * 8 + n * 8) = 5(-6n + 7) + -9 (-88 + 8n) = 5(-6n + 7) + -9 Reorder the terms: -88 + 8n = 5(7 + -6n) + -9 -88 + 8n = (7 * 5 + -6n * 5) + -9 -88 + 8n = (35 + -30n) + -9 Reorder the terms: -88 + 8n = 35 + -9 + -30n Combine like terms: 35 + -9 = 26 -88 + 8n = 26 + -30n Solving -88 + 8n = 26 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -88 + 8n + 30n = 26 + -30n + 30n Combine like terms: 8n + 30n = 38n -88 + 38n = 26 + -30n + 30n Combine like terms: -30n + 30n = 0 -88 + 38n = 26 + 0 -88 + 38n = 26 Add '88' to each side of the equation. -88 + 88 + 38n = 26 + 88 Combine like terms: -88 + 88 = 0 0 + 38n = 26 + 88 38n = 26 + 88 Combine like terms: 26 + 88 = 114 38n = 114 Divide each side by '38'. n = 3 Simplifying n = 3
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