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Simplifying 3(1 + 4n) + -2(5n + -30) = 25 (1 * 3 + 4n * 3) + -2(5n + -30) = 25 (3 + 12n) + -2(5n + -30) = 25 Reorder the terms: 3 + 12n + -2(-30 + 5n) = 25 3 + 12n + (-30 * -2 + 5n * -2) = 25 3 + 12n + (60 + -10n) = 25 Reorder the terms: 3 + 60 + 12n + -10n = 25 Combine like terms: 3 + 60 = 63 63 + 12n + -10n = 25 Combine like terms: 12n + -10n = 2n 63 + 2n = 25 Solving 63 + 2n = 25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 2n = 25 + -63 Combine like terms: 63 + -63 = 0 0 + 2n = 25 + -63 2n = 25 + -63 Combine like terms: 25 + -63 = -38 2n = -38 Divide each side by '2'. n = -19 Simplifying n = -19
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