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Simplifying 5(3n + 5) + 6(1 + -5n) = 16 Reorder the terms: 5(5 + 3n) + 6(1 + -5n) = 16 (5 * 5 + 3n * 5) + 6(1 + -5n) = 16 (25 + 15n) + 6(1 + -5n) = 16 25 + 15n + (1 * 6 + -5n * 6) = 16 25 + 15n + (6 + -30n) = 16 Reorder the terms: 25 + 6 + 15n + -30n = 16 Combine like terms: 25 + 6 = 31 31 + 15n + -30n = 16 Combine like terms: 15n + -30n = -15n 31 + -15n = 16 Solving 31 + -15n = 16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -15n = 16 + -31 Combine like terms: 31 + -31 = 0 0 + -15n = 16 + -31 -15n = 16 + -31 Combine like terms: 16 + -31 = -15 -15n = -15 Divide each side by '-15'. n = 1 Simplifying n = 1
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