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Simplifying -9(n + 5) = 4 + -8n Reorder the terms: -9(5 + n) = 4 + -8n (5 * -9 + n * -9) = 4 + -8n (-45 + -9n) = 4 + -8n Solving -45 + -9n = 4 + -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. -45 + -9n + 8n = 4 + -8n + 8n Combine like terms: -9n + 8n = -1n -45 + -1n = 4 + -8n + 8n Combine like terms: -8n + 8n = 0 -45 + -1n = 4 + 0 -45 + -1n = 4 Add '45' to each side of the equation. -45 + 45 + -1n = 4 + 45 Combine like terms: -45 + 45 = 0 0 + -1n = 4 + 45 -1n = 4 + 45 Combine like terms: 4 + 45 = 49 -1n = 49 Divide each side by '-1'. n = -49 Simplifying n = -49
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