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Simplifying 5(3n + 5) = 7(6n + 5) + 3 Reorder the terms: 5(5 + 3n) = 7(6n + 5) + 3 (5 * 5 + 3n * 5) = 7(6n + 5) + 3 (25 + 15n) = 7(6n + 5) + 3 Reorder the terms: 25 + 15n = 7(5 + 6n) + 3 25 + 15n = (5 * 7 + 6n * 7) + 3 25 + 15n = (35 + 42n) + 3 Reorder the terms: 25 + 15n = 35 + 3 + 42n Combine like terms: 35 + 3 = 38 25 + 15n = 38 + 42n Solving 25 + 15n = 38 + 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. 25 + 15n + -42n = 38 + 42n + -42n Combine like terms: 15n + -42n = -27n 25 + -27n = 38 + 42n + -42n Combine like terms: 42n + -42n = 0 25 + -27n = 38 + 0 25 + -27n = 38 Add '-25' to each side of the equation. 25 + -25 + -27n = 38 + -25 Combine like terms: 25 + -25 = 0 0 + -27n = 38 + -25 -27n = 38 + -25 Combine like terms: 38 + -25 = 13 -27n = 13 Divide each side by '-27'. n = -0.4814814815 Simplifying n = -0.4814814815
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