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Simplifying 5(3n + 1) = 6(5n + 4) + 7 Reorder the terms: 5(1 + 3n) = 6(5n + 4) + 7 (1 * 5 + 3n * 5) = 6(5n + 4) + 7 (5 + 15n) = 6(5n + 4) + 7 Reorder the terms: 5 + 15n = 6(4 + 5n) + 7 5 + 15n = (4 * 6 + 5n * 6) + 7 5 + 15n = (24 + 30n) + 7 Reorder the terms: 5 + 15n = 24 + 7 + 30n Combine like terms: 24 + 7 = 31 5 + 15n = 31 + 30n Solving 5 + 15n = 31 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 5 + 15n + -30n = 31 + 30n + -30n Combine like terms: 15n + -30n = -15n 5 + -15n = 31 + 30n + -30n Combine like terms: 30n + -30n = 0 5 + -15n = 31 + 0 5 + -15n = 31 Add '-5' to each side of the equation. 5 + -5 + -15n = 31 + -5 Combine like terms: 5 + -5 = 0 0 + -15n = 31 + -5 -15n = 31 + -5 Combine like terms: 31 + -5 = 26 -15n = 26 Divide each side by '-15'. n = -1.733333333 Simplifying n = -1.733333333
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