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Simplifying 4(n + 9) + -1(8n + -9) = -5n Reorder the terms: 4(9 + n) + -1(8n + -9) = -5n (9 * 4 + n * 4) + -1(8n + -9) = -5n (36 + 4n) + -1(8n + -9) = -5n Reorder the terms: 36 + 4n + -1(-9 + 8n) = -5n 36 + 4n + (-9 * -1 + 8n * -1) = -5n 36 + 4n + (9 + -8n) = -5n Reorder the terms: 36 + 9 + 4n + -8n = -5n Combine like terms: 36 + 9 = 45 45 + 4n + -8n = -5n Combine like terms: 4n + -8n = -4n 45 + -4n = -5n Solving 45 + -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. 45 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 45 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 45 + 1n = 0 Add '-45' to each side of the equation. 45 + -45 + 1n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 1n = 0 + -45 1n = 0 + -45 Combine like terms: 0 + -45 = -45 1n = -45 Divide each side by '1'. n = -45 Simplifying n = -45
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