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Simplifying 2(3n + 5) = 8(4n + 9) + 3 Reorder the terms: 2(5 + 3n) = 8(4n + 9) + 3 (5 * 2 + 3n * 2) = 8(4n + 9) + 3 (10 + 6n) = 8(4n + 9) + 3 Reorder the terms: 10 + 6n = 8(9 + 4n) + 3 10 + 6n = (9 * 8 + 4n * 8) + 3 10 + 6n = (72 + 32n) + 3 Reorder the terms: 10 + 6n = 72 + 3 + 32n Combine like terms: 72 + 3 = 75 10 + 6n = 75 + 32n Solving 10 + 6n = 75 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 10 + 6n + -32n = 75 + 32n + -32n Combine like terms: 6n + -32n = -26n 10 + -26n = 75 + 32n + -32n Combine like terms: 32n + -32n = 0 10 + -26n = 75 + 0 10 + -26n = 75 Add '-10' to each side of the equation. 10 + -10 + -26n = 75 + -10 Combine like terms: 10 + -10 = 0 0 + -26n = 75 + -10 -26n = 75 + -10 Combine like terms: 75 + -10 = 65 -26n = 65 Divide each side by '-26'. n = -2.5 Simplifying n = -2.5
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