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Simplifying -9(n + 7) = 5 + -8n Reorder the terms: -9(7 + n) = 5 + -8n (7 * -9 + n * -9) = 5 + -8n (-63 + -9n) = 5 + -8n Solving -63 + -9n = 5 + -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. -63 + -9n + 8n = 5 + -8n + 8n Combine like terms: -9n + 8n = -1n -63 + -1n = 5 + -8n + 8n Combine like terms: -8n + 8n = 0 -63 + -1n = 5 + 0 -63 + -1n = 5 Add '63' to each side of the equation. -63 + 63 + -1n = 5 + 63 Combine like terms: -63 + 63 = 0 0 + -1n = 5 + 63 -1n = 5 + 63 Combine like terms: 5 + 63 = 68 -1n = 68 Divide each side by '-1'. n = -68 Simplifying n = -68
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