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Simplifying 8(3n + 3) = 7(7n + 5) + 2 Reorder the terms: 8(3 + 3n) = 7(7n + 5) + 2 (3 * 8 + 3n * 8) = 7(7n + 5) + 2 (24 + 24n) = 7(7n + 5) + 2 Reorder the terms: 24 + 24n = 7(5 + 7n) + 2 24 + 24n = (5 * 7 + 7n * 7) + 2 24 + 24n = (35 + 49n) + 2 Reorder the terms: 24 + 24n = 35 + 2 + 49n Combine like terms: 35 + 2 = 37 24 + 24n = 37 + 49n Solving 24 + 24n = 37 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 24 + 24n + -49n = 37 + 49n + -49n Combine like terms: 24n + -49n = -25n 24 + -25n = 37 + 49n + -49n Combine like terms: 49n + -49n = 0 24 + -25n = 37 + 0 24 + -25n = 37 Add '-24' to each side of the equation. 24 + -24 + -25n = 37 + -24 Combine like terms: 24 + -24 = 0 0 + -25n = 37 + -24 -25n = 37 + -24 Combine like terms: 37 + -24 = 13 -25n = 13 Divide each side by '-25'. n = -0.52 Simplifying n = -0.52
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