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Simplifying -9(n + -4) + -1(8n + -5) = -18n Reorder the terms: -9(-4 + n) + -1(8n + -5) = -18n (-4 * -9 + n * -9) + -1(8n + -5) = -18n (36 + -9n) + -1(8n + -5) = -18n Reorder the terms: 36 + -9n + -1(-5 + 8n) = -18n 36 + -9n + (-5 * -1 + 8n * -1) = -18n 36 + -9n + (5 + -8n) = -18n Reorder the terms: 36 + 5 + -9n + -8n = -18n Combine like terms: 36 + 5 = 41 41 + -9n + -8n = -18n Combine like terms: -9n + -8n = -17n 41 + -17n = -18n Solving 41 + -17n = -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 41 + -17n + 18n = -18n + 18n Combine like terms: -17n + 18n = 1n 41 + 1n = -18n + 18n Combine like terms: -18n + 18n = 0 41 + 1n = 0 Add '-41' to each side of the equation. 41 + -41 + 1n = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1n = 0 + -41 1n = 0 + -41 Combine like terms: 0 + -41 = -41 1n = -41 Divide each side by '1'. n = -41 Simplifying n = -41
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