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Simplifying -9(n + 6) = 3 + -8n Reorder the terms: -9(6 + n) = 3 + -8n (6 * -9 + n * -9) = 3 + -8n (-54 + -9n) = 3 + -8n Solving -54 + -9n = 3 + -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. -54 + -9n + 8n = 3 + -8n + 8n Combine like terms: -9n + 8n = -1n -54 + -1n = 3 + -8n + 8n Combine like terms: -8n + 8n = 0 -54 + -1n = 3 + 0 -54 + -1n = 3 Add '54' to each side of the equation. -54 + 54 + -1n = 3 + 54 Combine like terms: -54 + 54 = 0 0 + -1n = 3 + 54 -1n = 3 + 54 Combine like terms: 3 + 54 = 57 -1n = 57 Divide each side by '-1'. n = -57 Simplifying n = -57
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