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Simplifying 5(n + -1) + -1(8 + -1n) = 0 Reorder the terms: 5(-1 + n) + -1(8 + -1n) = 0 (-1 * 5 + n * 5) + -1(8 + -1n) = 0 (-5 + 5n) + -1(8 + -1n) = 0 -5 + 5n + (8 * -1 + -1n * -1) = 0 -5 + 5n + (-8 + 1n) = 0 Reorder the terms: -5 + -8 + 5n + 1n = 0 Combine like terms: -5 + -8 = -13 -13 + 5n + 1n = 0 Combine like terms: 5n + 1n = 6n -13 + 6n = 0 Solving -13 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6n = 0 + 13 6n = 0 + 13 Combine like terms: 0 + 13 = 13 6n = 13 Divide each side by '6'. n = 2.166666667 Simplifying n = 2.166666667
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