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Simplifying 3(1 + 4n) + -2(5n + -3) = 25 (1 * 3 + 4n * 3) + -2(5n + -3) = 25 (3 + 12n) + -2(5n + -3) = 25 Reorder the terms: 3 + 12n + -2(-3 + 5n) = 25 3 + 12n + (-3 * -2 + 5n * -2) = 25 3 + 12n + (6 + -10n) = 25 Reorder the terms: 3 + 6 + 12n + -10n = 25 Combine like terms: 3 + 6 = 9 9 + 12n + -10n = 25 Combine like terms: 12n + -10n = 2n 9 + 2n = 25 Solving 9 + 2n = 25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2n = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = 25 + -9 2n = 25 + -9 Combine like terms: 25 + -9 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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