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Simplifying 5(3n + 2) = 7(6n + 5) + 5 Reorder the terms: 5(2 + 3n) = 7(6n + 5) + 5 (2 * 5 + 3n * 5) = 7(6n + 5) + 5 (10 + 15n) = 7(6n + 5) + 5 Reorder the terms: 10 + 15n = 7(5 + 6n) + 5 10 + 15n = (5 * 7 + 6n * 7) + 5 10 + 15n = (35 + 42n) + 5 Reorder the terms: 10 + 15n = 35 + 5 + 42n Combine like terms: 35 + 5 = 40 10 + 15n = 40 + 42n Solving 10 + 15n = 40 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 10 + 15n + -42n = 40 + 42n + -42n Combine like terms: 15n + -42n = -27n 10 + -27n = 40 + 42n + -42n Combine like terms: 42n + -42n = 0 10 + -27n = 40 + 0 10 + -27n = 40 Add '-10' to each side of the equation. 10 + -10 + -27n = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -27n = 40 + -10 -27n = 40 + -10 Combine like terms: 40 + -10 = 30 -27n = 30 Divide each side by '-27'. n = -1.111111111 Simplifying n = -1.111111111
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