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Simplifying 6(n + 9) = -8(n + 2) Reorder the terms: 6(9 + n) = -8(n + 2) (9 * 6 + n * 6) = -8(n + 2) (54 + 6n) = -8(n + 2) Reorder the terms: 54 + 6n = -8(2 + n) 54 + 6n = (2 * -8 + n * -8) 54 + 6n = (-16 + -8n) Solving 54 + 6n = -16 + -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 + 6n + 8n = -16 + -8n + 8n Combine like terms: 6n + 8n = 14n 54 + 14n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 54 + 14n = -16 + 0 54 + 14n = -16 Add '-54' to each side of the equation. 54 + -54 + 14n = -16 + -54 Combine like terms: 54 + -54 = 0 0 + 14n = -16 + -54 14n = -16 + -54 Combine like terms: -16 + -54 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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