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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 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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