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Simplifying 8(3n + 3) = 8(7n + 5) + 2 Reorder the terms: 8(3 + 3n) = 8(7n + 5) + 2 (3 * 8 + 3n * 8) = 8(7n + 5) + 2 (24 + 24n) = 8(7n + 5) + 2 Reorder the terms: 24 + 24n = 8(5 + 7n) + 2 24 + 24n = (5 * 8 + 7n * 8) + 2 24 + 24n = (40 + 56n) + 2 Reorder the terms: 24 + 24n = 40 + 2 + 56n Combine like terms: 40 + 2 = 42 24 + 24n = 42 + 56n Solving 24 + 24n = 42 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 24 + 24n + -56n = 42 + 56n + -56n Combine like terms: 24n + -56n = -32n 24 + -32n = 42 + 56n + -56n Combine like terms: 56n + -56n = 0 24 + -32n = 42 + 0 24 + -32n = 42 Add '-24' to each side of the equation. 24 + -24 + -32n = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -32n = 42 + -24 -32n = 42 + -24 Combine like terms: 42 + -24 = 18 -32n = 18 Divide each side by '-32'. n = -0.5625 Simplifying n = -0.5625
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