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Simplifying -5(n + 4) + -1(2n + -9) = -8n Reorder the terms: -5(4 + n) + -1(2n + -9) = -8n (4 * -5 + n * -5) + -1(2n + -9) = -8n (-20 + -5n) + -1(2n + -9) = -8n Reorder the terms: -20 + -5n + -1(-9 + 2n) = -8n -20 + -5n + (-9 * -1 + 2n * -1) = -8n -20 + -5n + (9 + -2n) = -8n Reorder the terms: -20 + 9 + -5n + -2n = -8n Combine like terms: -20 + 9 = -11 -11 + -5n + -2n = -8n Combine like terms: -5n + -2n = -7n -11 + -7n = -8n Solving -11 + -7n = -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -11 + -7n + 8n = -8n + 8n Combine like terms: -7n + 8n = 1n -11 + 1n = -8n + 8n Combine like terms: -8n + 8n = 0 -11 + 1n = 0 Add '11' to each side of the equation. -11 + 11 + 1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1n = 0 + 11 1n = 0 + 11 Combine like terms: 0 + 11 = 11 1n = 11 Divide each side by '1'. n = 11 Simplifying n = 11
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