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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 = -3 -3 + 12n + -10n = 25 Combine like terms: 12n + -10n = 2n -3 + 2n = 25 Solving -3 + 2n = 25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2n = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 25 + 3 2n = 25 + 3 Combine like terms: 25 + 3 = 28 2n = 28 Divide each side by '2'. n = 14 Simplifying n = 14
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