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