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Simplifying 96 = 7(n + 6) + 2n Reorder the terms: 96 = 7(6 + n) + 2n 96 = (6 * 7 + n * 7) + 2n 96 = (42 + 7n) + 2n Combine like terms: 7n + 2n = 9n 96 = 42 + 9n Solving 96 = 42 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 96 + -9n = 42 + 9n + -9n Combine like terms: 9n + -9n = 0 96 + -9n = 42 + 0 96 + -9n = 42 Add '-96' to each side of the equation. 96 + -96 + -9n = 42 + -96 Combine like terms: 96 + -96 = 0 0 + -9n = 42 + -96 -9n = 42 + -96 Combine like terms: 42 + -96 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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