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Simplifying 45 = 9(n + 8) Reorder the terms: 45 = 9(8 + n) 45 = (8 * 9 + n * 9) 45 = (72 + 9n) Solving 45 = 72 + 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. 45 + -9n = 72 + 9n + -9n Combine like terms: 9n + -9n = 0 45 + -9n = 72 + 0 45 + -9n = 72 Add '-45' to each side of the equation. 45 + -45 + -9n = 72 + -45 Combine like terms: 45 + -45 = 0 0 + -9n = 72 + -45 -9n = 72 + -45 Combine like terms: 72 + -45 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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