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Simplifying 7(5n + 6) = 6n + 13 Reorder the terms: 7(6 + 5n) = 6n + 13 (6 * 7 + 5n * 7) = 6n + 13 (42 + 35n) = 6n + 13 Reorder the terms: 42 + 35n = 13 + 6n Solving 42 + 35n = 13 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 42 + 35n + -6n = 13 + 6n + -6n Combine like terms: 35n + -6n = 29n 42 + 29n = 13 + 6n + -6n Combine like terms: 6n + -6n = 0 42 + 29n = 13 + 0 42 + 29n = 13 Add '-42' to each side of the equation. 42 + -42 + 29n = 13 + -42 Combine like terms: 42 + -42 = 0 0 + 29n = 13 + -42 29n = 13 + -42 Combine like terms: 13 + -42 = -29 29n = -29 Divide each side by '29'. n = -1 Simplifying n = -1
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