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Simplifying -4(n + 3) + -1(5 + 4n) = -9n Reorder the terms: -4(3 + n) + -1(5 + 4n) = -9n (3 * -4 + n * -4) + -1(5 + 4n) = -9n (-12 + -4n) + -1(5 + 4n) = -9n -12 + -4n + (5 * -1 + 4n * -1) = -9n -12 + -4n + (-5 + -4n) = -9n Reorder the terms: -12 + -5 + -4n + -4n = -9n Combine like terms: -12 + -5 = -17 -17 + -4n + -4n = -9n Combine like terms: -4n + -4n = -8n -17 + -8n = -9n Solving -17 + -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. -17 + -8n + 9n = -9n + 9n Combine like terms: -8n + 9n = 1n -17 + 1n = -9n + 9n Combine like terms: -9n + 9n = 0 -17 + 1n = 0 Add '17' to each side of the equation. -17 + 17 + 1n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1n = 0 + 17 1n = 0 + 17 Combine like terms: 0 + 17 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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