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Simplifying 4(n + 9) + -7(n + -8) = 83 Reorder the terms: 4(9 + n) + -7(n + -8) = 83 (9 * 4 + n * 4) + -7(n + -8) = 83 (36 + 4n) + -7(n + -8) = 83 Reorder the terms: 36 + 4n + -7(-8 + n) = 83 36 + 4n + (-8 * -7 + n * -7) = 83 36 + 4n + (56 + -7n) = 83 Reorder the terms: 36 + 56 + 4n + -7n = 83 Combine like terms: 36 + 56 = 92 92 + 4n + -7n = 83 Combine like terms: 4n + -7n = -3n 92 + -3n = 83 Solving 92 + -3n = 83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + -3n = 83 + -92 Combine like terms: 92 + -92 = 0 0 + -3n = 83 + -92 -3n = 83 + -92 Combine like terms: 83 + -92 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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