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Simplifying 5(n + 8) + 4(n + -1) = 0 Reorder the terms: 5(8 + n) + 4(n + -1) = 0 (8 * 5 + n * 5) + 4(n + -1) = 0 (40 + 5n) + 4(n + -1) = 0 Reorder the terms: 40 + 5n + 4(-1 + n) = 0 40 + 5n + (-1 * 4 + n * 4) = 0 40 + 5n + (-4 + 4n) = 0 Reorder the terms: 40 + -4 + 5n + 4n = 0 Combine like terms: 40 + -4 = 36 36 + 5n + 4n = 0 Combine like terms: 5n + 4n = 9n 36 + 9n = 0 Solving 36 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 9n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 9n = 0 + -36 9n = 0 + -36 Combine like terms: 0 + -36 = -36 9n = -36 Divide each side by '9'. n = -4 Simplifying n = -4
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