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Simplifying 9(2n + 2) = 7(6n + 8) + 5 Reorder the terms: 9(2 + 2n) = 7(6n + 8) + 5 (2 * 9 + 2n * 9) = 7(6n + 8) + 5 (18 + 18n) = 7(6n + 8) + 5 Reorder the terms: 18 + 18n = 7(8 + 6n) + 5 18 + 18n = (8 * 7 + 6n * 7) + 5 18 + 18n = (56 + 42n) + 5 Reorder the terms: 18 + 18n = 56 + 5 + 42n Combine like terms: 56 + 5 = 61 18 + 18n = 61 + 42n Solving 18 + 18n = 61 + 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. 18 + 18n + -42n = 61 + 42n + -42n Combine like terms: 18n + -42n = -24n 18 + -24n = 61 + 42n + -42n Combine like terms: 42n + -42n = 0 18 + -24n = 61 + 0 18 + -24n = 61 Add '-18' to each side of the equation. 18 + -18 + -24n = 61 + -18 Combine like terms: 18 + -18 = 0 0 + -24n = 61 + -18 -24n = 61 + -18 Combine like terms: 61 + -18 = 43 -24n = 43 Divide each side by '-24'. n = -1.791666667 Simplifying n = -1.791666667
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