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Simplifying 8(3n + 4) = 7(6n + 7) + 9 Reorder the terms: 8(4 + 3n) = 7(6n + 7) + 9 (4 * 8 + 3n * 8) = 7(6n + 7) + 9 (32 + 24n) = 7(6n + 7) + 9 Reorder the terms: 32 + 24n = 7(7 + 6n) + 9 32 + 24n = (7 * 7 + 6n * 7) + 9 32 + 24n = (49 + 42n) + 9 Reorder the terms: 32 + 24n = 49 + 9 + 42n Combine like terms: 49 + 9 = 58 32 + 24n = 58 + 42n Solving 32 + 24n = 58 + 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. 32 + 24n + -42n = 58 + 42n + -42n Combine like terms: 24n + -42n = -18n 32 + -18n = 58 + 42n + -42n Combine like terms: 42n + -42n = 0 32 + -18n = 58 + 0 32 + -18n = 58 Add '-32' to each side of the equation. 32 + -32 + -18n = 58 + -32 Combine like terms: 32 + -32 = 0 0 + -18n = 58 + -32 -18n = 58 + -32 Combine like terms: 58 + -32 = 26 -18n = 26 Divide each side by '-18'. n = -1.444444444 Simplifying n = -1.444444444
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