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Simplifying (n + 9) = 5n + 45 Reorder the terms: (9 + n) = 5n + 45 Remove parenthesis around (9 + n) 9 + n = 5n + 45 Reorder the terms: 9 + n = 45 + 5n Solving 9 + n = 45 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 9 + n + -5n = 45 + 5n + -5n Combine like terms: n + -5n = -4n 9 + -4n = 45 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + -4n = 45 + 0 9 + -4n = 45 Add '-9' to each side of the equation. 9 + -9 + -4n = 45 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 45 + -9 -4n = 45 + -9 Combine like terms: 45 + -9 = 36 -4n = 36 Divide each side by '-4'. n = -9 Simplifying n = -9
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