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Simplifying 9(2n + 4) = 7(6n + 8) + 7 Reorder the terms: 9(4 + 2n) = 7(6n + 8) + 7 (4 * 9 + 2n * 9) = 7(6n + 8) + 7 (36 + 18n) = 7(6n + 8) + 7 Reorder the terms: 36 + 18n = 7(8 + 6n) + 7 36 + 18n = (8 * 7 + 6n * 7) + 7 36 + 18n = (56 + 42n) + 7 Reorder the terms: 36 + 18n = 56 + 7 + 42n Combine like terms: 56 + 7 = 63 36 + 18n = 63 + 42n Solving 36 + 18n = 63 + 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. 36 + 18n + -42n = 63 + 42n + -42n Combine like terms: 18n + -42n = -24n 36 + -24n = 63 + 42n + -42n Combine like terms: 42n + -42n = 0 36 + -24n = 63 + 0 36 + -24n = 63 Add '-36' to each side of the equation. 36 + -36 + -24n = 63 + -36 Combine like terms: 36 + -36 = 0 0 + -24n = 63 + -36 -24n = 63 + -36 Combine like terms: 63 + -36 = 27 -24n = 27 Divide each side by '-24'. n = -1.125 Simplifying n = -1.125
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