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Simplifying 9(2n + 5) = 6(7n + 7) + 7 Reorder the terms: 9(5 + 2n) = 6(7n + 7) + 7 (5 * 9 + 2n * 9) = 6(7n + 7) + 7 (45 + 18n) = 6(7n + 7) + 7 Reorder the terms: 45 + 18n = 6(7 + 7n) + 7 45 + 18n = (7 * 6 + 7n * 6) + 7 45 + 18n = (42 + 42n) + 7 Reorder the terms: 45 + 18n = 42 + 7 + 42n Combine like terms: 42 + 7 = 49 45 + 18n = 49 + 42n Solving 45 + 18n = 49 + 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. 45 + 18n + -42n = 49 + 42n + -42n Combine like terms: 18n + -42n = -24n 45 + -24n = 49 + 42n + -42n Combine like terms: 42n + -42n = 0 45 + -24n = 49 + 0 45 + -24n = 49 Add '-45' to each side of the equation. 45 + -45 + -24n = 49 + -45 Combine like terms: 45 + -45 = 0 0 + -24n = 49 + -45 -24n = 49 + -45 Combine like terms: 49 + -45 = 4 -24n = 4 Divide each side by '-24'. n = -0.1666666667 Simplifying n = -0.1666666667
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