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Simplifying 3(1 + 4n) = 25 + 2(5n + -3) (1 * 3 + 4n * 3) = 25 + 2(5n + -3) (3 + 12n) = 25 + 2(5n + -3) Reorder the terms: 3 + 12n = 25 + 2(-3 + 5n) 3 + 12n = 25 + (-3 * 2 + 5n * 2) 3 + 12n = 25 + (-6 + 10n) Combine like terms: 25 + -6 = 19 3 + 12n = 19 + 10n Solving 3 + 12n = 19 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 3 + 12n + -10n = 19 + 10n + -10n Combine like terms: 12n + -10n = 2n 3 + 2n = 19 + 10n + -10n Combine like terms: 10n + -10n = 0 3 + 2n = 19 + 0 3 + 2n = 19 Add '-3' to each side of the equation. 3 + -3 + 2n = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 19 + -3 2n = 19 + -3 Combine like terms: 19 + -3 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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