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Simplifying 15(n + 7) = 3(35 + n) Reorder the terms: 15(7 + n) = 3(35 + n) (7 * 15 + n * 15) = 3(35 + n) (105 + 15n) = 3(35 + n) 105 + 15n = (35 * 3 + n * 3) 105 + 15n = (105 + 3n) Add '-105' to each side of the equation. 105 + -105 + 15n = 105 + -105 + 3n Combine like terms: 105 + -105 = 0 0 + 15n = 105 + -105 + 3n 15n = 105 + -105 + 3n Combine like terms: 105 + -105 = 0 15n = 0 + 3n 15n = 3n Solving 15n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 15n + -3n = 3n + -3n Combine like terms: 15n + -3n = 12n 12n = 3n + -3n Combine like terms: 3n + -3n = 0 12n = 0 Divide each side by '12'. n = 0 Simplifying n = 0
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