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Simplifying 7(3n + 2) = 8(5n + 1) + 2 Reorder the terms: 7(2 + 3n) = 8(5n + 1) + 2 (2 * 7 + 3n * 7) = 8(5n + 1) + 2 (14 + 21n) = 8(5n + 1) + 2 Reorder the terms: 14 + 21n = 8(1 + 5n) + 2 14 + 21n = (1 * 8 + 5n * 8) + 2 14 + 21n = (8 + 40n) + 2 Reorder the terms: 14 + 21n = 8 + 2 + 40n Combine like terms: 8 + 2 = 10 14 + 21n = 10 + 40n Solving 14 + 21n = 10 + 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. 14 + 21n + -40n = 10 + 40n + -40n Combine like terms: 21n + -40n = -19n 14 + -19n = 10 + 40n + -40n Combine like terms: 40n + -40n = 0 14 + -19n = 10 + 0 14 + -19n = 10 Add '-14' to each side of the equation. 14 + -14 + -19n = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -19n = 10 + -14 -19n = 10 + -14 Combine like terms: 10 + -14 = -4 -19n = -4 Divide each side by '-19'. n = 0.2105263158 Simplifying n = 0.2105263158
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