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Simplifying -5 + 3(4n + 3) = 52 Reorder the terms: -5 + 3(3 + 4n) = 52 -5 + (3 * 3 + 4n * 3) = 52 -5 + (9 + 12n) = 52 Combine like terms: -5 + 9 = 4 4 + 12n = 52 Solving 4 + 12n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12n = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 12n = 52 + -4 12n = 52 + -4 Combine like terms: 52 + -4 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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