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Simplifying 35 = 3(3n + 5) + -5n Reorder the terms: 35 = 3(5 + 3n) + -5n 35 = (5 * 3 + 3n * 3) + -5n 35 = (15 + 9n) + -5n Combine like terms: 9n + -5n = 4n 35 = 15 + 4n Solving 35 = 15 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 35 + -4n = 15 + 4n + -4n Combine like terms: 4n + -4n = 0 35 + -4n = 15 + 0 35 + -4n = 15 Add '-35' to each side of the equation. 35 + -35 + -4n = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -4n = 15 + -35 -4n = 15 + -35 Combine like terms: 15 + -35 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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