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Simplifying -8(n + 6) + -9(n + -6) = 12 + -9n + 2 Reorder the terms: -8(6 + n) + -9(n + -6) = 12 + -9n + 2 (6 * -8 + n * -8) + -9(n + -6) = 12 + -9n + 2 (-48 + -8n) + -9(n + -6) = 12 + -9n + 2 Reorder the terms: -48 + -8n + -9(-6 + n) = 12 + -9n + 2 -48 + -8n + (-6 * -9 + n * -9) = 12 + -9n + 2 -48 + -8n + (54 + -9n) = 12 + -9n + 2 Reorder the terms: -48 + 54 + -8n + -9n = 12 + -9n + 2 Combine like terms: -48 + 54 = 6 6 + -8n + -9n = 12 + -9n + 2 Combine like terms: -8n + -9n = -17n 6 + -17n = 12 + -9n + 2 Reorder the terms: 6 + -17n = 12 + 2 + -9n Combine like terms: 12 + 2 = 14 6 + -17n = 14 + -9n Solving 6 + -17n = 14 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 6 + -17n + 9n = 14 + -9n + 9n Combine like terms: -17n + 9n = -8n 6 + -8n = 14 + -9n + 9n Combine like terms: -9n + 9n = 0 6 + -8n = 14 + 0 6 + -8n = 14 Add '-6' to each side of the equation. 6 + -6 + -8n = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -8n = 14 + -6 -8n = 14 + -6 Combine like terms: 14 + -6 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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