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Simplifying -6(n + 4) + -1(3 + 2n) = -9n Reorder the terms: -6(4 + n) + -1(3 + 2n) = -9n (4 * -6 + n * -6) + -1(3 + 2n) = -9n (-24 + -6n) + -1(3 + 2n) = -9n -24 + -6n + (3 * -1 + 2n * -1) = -9n -24 + -6n + (-3 + -2n) = -9n Reorder the terms: -24 + -3 + -6n + -2n = -9n Combine like terms: -24 + -3 = -27 -27 + -6n + -2n = -9n Combine like terms: -6n + -2n = -8n -27 + -8n = -9n Solving -27 + -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. -27 + -8n + 9n = -9n + 9n Combine like terms: -8n + 9n = 1n -27 + 1n = -9n + 9n Combine like terms: -9n + 9n = 0 -27 + 1n = 0 Add '27' to each side of the equation. -27 + 27 + 1n = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1n = 0 + 27 1n = 0 + 27 Combine like terms: 0 + 27 = 27 1n = 27 Divide each side by '1'. n = 27 Simplifying n = 27
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