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Simplifying -4(n + 5) + -1(6 + 4n) = -9n Reorder the terms: -4(5 + n) + -1(6 + 4n) = -9n (5 * -4 + n * -4) + -1(6 + 4n) = -9n (-20 + -4n) + -1(6 + 4n) = -9n -20 + -4n + (6 * -1 + 4n * -1) = -9n -20 + -4n + (-6 + -4n) = -9n Reorder the terms: -20 + -6 + -4n + -4n = -9n Combine like terms: -20 + -6 = -26 -26 + -4n + -4n = -9n Combine like terms: -4n + -4n = -8n -26 + -8n = -9n Solving -26 + -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. -26 + -8n + 9n = -9n + 9n Combine like terms: -8n + 9n = 1n -26 + 1n = -9n + 9n Combine like terms: -9n + 9n = 0 -26 + 1n = 0 Add '26' to each side of the equation. -26 + 26 + 1n = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1n = 0 + 26 1n = 0 + 26 Combine like terms: 0 + 26 = 26 1n = 26 Divide each side by '1'. n = 26 Simplifying n = 26
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