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Simplifying 7(3n + 4) = 8(5n + 8) + 8 Reorder the terms: 7(4 + 3n) = 8(5n + 8) + 8 (4 * 7 + 3n * 7) = 8(5n + 8) + 8 (28 + 21n) = 8(5n + 8) + 8 Reorder the terms: 28 + 21n = 8(8 + 5n) + 8 28 + 21n = (8 * 8 + 5n * 8) + 8 28 + 21n = (64 + 40n) + 8 Reorder the terms: 28 + 21n = 64 + 8 + 40n Combine like terms: 64 + 8 = 72 28 + 21n = 72 + 40n Solving 28 + 21n = 72 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 28 + 21n + -40n = 72 + 40n + -40n Combine like terms: 21n + -40n = -19n 28 + -19n = 72 + 40n + -40n Combine like terms: 40n + -40n = 0 28 + -19n = 72 + 0 28 + -19n = 72 Add '-28' to each side of the equation. 28 + -28 + -19n = 72 + -28 Combine like terms: 28 + -28 = 0 0 + -19n = 72 + -28 -19n = 72 + -28 Combine like terms: 72 + -28 = 44 -19n = 44 Divide each side by '-19'. n = -2.315789474 Simplifying n = -2.315789474
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