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Simplifying 8(2n + 3) = 7(7n + 7) + 3 Reorder the terms: 8(3 + 2n) = 7(7n + 7) + 3 (3 * 8 + 2n * 8) = 7(7n + 7) + 3 (24 + 16n) = 7(7n + 7) + 3 Reorder the terms: 24 + 16n = 7(7 + 7n) + 3 24 + 16n = (7 * 7 + 7n * 7) + 3 24 + 16n = (49 + 49n) + 3 Reorder the terms: 24 + 16n = 49 + 3 + 49n Combine like terms: 49 + 3 = 52 24 + 16n = 52 + 49n Solving 24 + 16n = 52 + 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 + 16n + -49n = 52 + 49n + -49n Combine like terms: 16n + -49n = -33n 24 + -33n = 52 + 49n + -49n Combine like terms: 49n + -49n = 0 24 + -33n = 52 + 0 24 + -33n = 52 Add '-24' to each side of the equation. 24 + -24 + -33n = 52 + -24 Combine like terms: 24 + -24 = 0 0 + -33n = 52 + -24 -33n = 52 + -24 Combine like terms: 52 + -24 = 28 -33n = 28 Divide each side by '-33'. n = -0.8484848485 Simplifying n = -0.8484848485
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