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Simplifying 6(6n + 7) = 7(6n + 6) + 5 Reorder the terms: 6(7 + 6n) = 7(6n + 6) + 5 (7 * 6 + 6n * 6) = 7(6n + 6) + 5 (42 + 36n) = 7(6n + 6) + 5 Reorder the terms: 42 + 36n = 7(6 + 6n) + 5 42 + 36n = (6 * 7 + 6n * 7) + 5 42 + 36n = (42 + 42n) + 5 Reorder the terms: 42 + 36n = 42 + 5 + 42n Combine like terms: 42 + 5 = 47 42 + 36n = 47 + 42n Solving 42 + 36n = 47 + 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. 42 + 36n + -42n = 47 + 42n + -42n Combine like terms: 36n + -42n = -6n 42 + -6n = 47 + 42n + -42n Combine like terms: 42n + -42n = 0 42 + -6n = 47 + 0 42 + -6n = 47 Add '-42' to each side of the equation. 42 + -42 + -6n = 47 + -42 Combine like terms: 42 + -42 = 0 0 + -6n = 47 + -42 -6n = 47 + -42 Combine like terms: 47 + -42 = 5 -6n = 5 Divide each side by '-6'. n = -0.8333333333 Simplifying n = -0.8333333333
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