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Simplifying 5(n + 8) + -1(9n + -6) = -5n Reorder the terms: 5(8 + n) + -1(9n + -6) = -5n (8 * 5 + n * 5) + -1(9n + -6) = -5n (40 + 5n) + -1(9n + -6) = -5n Reorder the terms: 40 + 5n + -1(-6 + 9n) = -5n 40 + 5n + (-6 * -1 + 9n * -1) = -5n 40 + 5n + (6 + -9n) = -5n Reorder the terms: 40 + 6 + 5n + -9n = -5n Combine like terms: 40 + 6 = 46 46 + 5n + -9n = -5n Combine like terms: 5n + -9n = -4n 46 + -4n = -5n Solving 46 + -4n = -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. 46 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 46 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 46 + 1n = 0 Add '-46' to each side of the equation. 46 + -46 + 1n = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 1n = 0 + -46 1n = 0 + -46 Combine like terms: 0 + -46 = -46 1n = -46 Divide each side by '1'. n = -46 Simplifying n = -46
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