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Simplifying 3(2 + 7) + -8(n + -9) = 0 Combine like terms: 2 + 7 = 9 3(9) + -8(n + -9) = 0 Multiply 3 * 9 27 + -8(n + -9) = 0 Reorder the terms: 27 + -8(-9 + n) = 0 27 + (-9 * -8 + n * -8) = 0 27 + (72 + -8n) = 0 Combine like terms: 27 + 72 = 99 99 + -8n = 0 Solving 99 + -8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + -8n = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -8n = 0 + -99 -8n = 0 + -99 Combine like terms: 0 + -99 = -99 -8n = -99 Divide each side by '-8'. n = 12.375 Simplifying n = 12.375
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