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Simplifying 8(3n + 3) = 7(9n + 5) + 8 Reorder the terms: 8(3 + 3n) = 7(9n + 5) + 8 (3 * 8 + 3n * 8) = 7(9n + 5) + 8 (24 + 24n) = 7(9n + 5) + 8 Reorder the terms: 24 + 24n = 7(5 + 9n) + 8 24 + 24n = (5 * 7 + 9n * 7) + 8 24 + 24n = (35 + 63n) + 8 Reorder the terms: 24 + 24n = 35 + 8 + 63n Combine like terms: 35 + 8 = 43 24 + 24n = 43 + 63n Solving 24 + 24n = 43 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 24 + 24n + -63n = 43 + 63n + -63n Combine like terms: 24n + -63n = -39n 24 + -39n = 43 + 63n + -63n Combine like terms: 63n + -63n = 0 24 + -39n = 43 + 0 24 + -39n = 43 Add '-24' to each side of the equation. 24 + -24 + -39n = 43 + -24 Combine like terms: 24 + -24 = 0 0 + -39n = 43 + -24 -39n = 43 + -24 Combine like terms: 43 + -24 = 19 -39n = 19 Divide each side by '-39'. n = -0.4871794872 Simplifying n = -0.4871794872
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