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Simplifying 82 = 7(n + 3) + 5 Reorder the terms: 82 = 7(3 + n) + 5 82 = (3 * 7 + n * 7) + 5 82 = (21 + 7n) + 5 Reorder the terms: 82 = 21 + 5 + 7n Combine like terms: 21 + 5 = 26 82 = 26 + 7n Solving 82 = 26 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 82 + -7n = 26 + 7n + -7n Combine like terms: 7n + -7n = 0 82 + -7n = 26 + 0 82 + -7n = 26 Add '-82' to each side of the equation. 82 + -82 + -7n = 26 + -82 Combine like terms: 82 + -82 = 0 0 + -7n = 26 + -82 -7n = 26 + -82 Combine like terms: 26 + -82 = -56 -7n = -56 Divide each side by '-7'. n = 8 Simplifying n = 8
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