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Simplifying -1n + -5(6n + -8) = 5(n + 8) Reorder the terms: -1n + -5(-8 + 6n) = 5(n + 8) -1n + (-8 * -5 + 6n * -5) = 5(n + 8) -1n + (40 + -30n) = 5(n + 8) Reorder the terms: 40 + -1n + -30n = 5(n + 8) Combine like terms: -1n + -30n = -31n 40 + -31n = 5(n + 8) Reorder the terms: 40 + -31n = 5(8 + n) 40 + -31n = (8 * 5 + n * 5) 40 + -31n = (40 + 5n) Add '-40' to each side of the equation. 40 + -40 + -31n = 40 + -40 + 5n Combine like terms: 40 + -40 = 0 0 + -31n = 40 + -40 + 5n -31n = 40 + -40 + 5n Combine like terms: 40 + -40 = 0 -31n = 0 + 5n -31n = 5n Solving -31n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -31n + -5n = 5n + -5n Combine like terms: -31n + -5n = -36n -36n = 5n + -5n Combine like terms: 5n + -5n = 0 -36n = 0 Divide each side by '-36'. n = 0 Simplifying n = 0
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