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Simplifying 3(7n + 7) + -6n = 96 Reorder the terms: 3(7 + 7n) + -6n = 96 (7 * 3 + 7n * 3) + -6n = 96 (21 + 21n) + -6n = 96 Combine like terms: 21n + -6n = 15n 21 + 15n = 96 Solving 21 + 15n = 96 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 15n = 96 + -21 Combine like terms: 21 + -21 = 0 0 + 15n = 96 + -21 15n = 96 + -21 Combine like terms: 96 + -21 = 75 15n = 75 Divide each side by '15'. n = 5 Simplifying n = 5
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