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Simplifying 3(4n + 7) = -35 + 5n Reorder the terms: 3(7 + 4n) = -35 + 5n (7 * 3 + 4n * 3) = -35 + 5n (21 + 12n) = -35 + 5n Solving 21 + 12n = -35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 21 + 12n + -5n = -35 + 5n + -5n Combine like terms: 12n + -5n = 7n 21 + 7n = -35 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + 7n = -35 + 0 21 + 7n = -35 Add '-21' to each side of the equation. 21 + -21 + 7n = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 7n = -35 + -21 7n = -35 + -21 Combine like terms: -35 + -21 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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