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Simplifying 9(n + -4) = 8n + -27 Reorder the terms: 9(-4 + n) = 8n + -27 (-4 * 9 + n * 9) = 8n + -27 (-36 + 9n) = 8n + -27 Reorder the terms: -36 + 9n = -27 + 8n Solving -36 + 9n = -27 + 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. -36 + 9n + -8n = -27 + 8n + -8n Combine like terms: 9n + -8n = 1n -36 + 1n = -27 + 8n + -8n Combine like terms: 8n + -8n = 0 -36 + 1n = -27 + 0 -36 + 1n = -27 Add '36' to each side of the equation. -36 + 36 + 1n = -27 + 36 Combine like terms: -36 + 36 = 0 0 + 1n = -27 + 36 1n = -27 + 36 Combine like terms: -27 + 36 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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