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Simplifying 82 = 7(n + 6) + 5 Reorder the terms: 82 = 7(6 + n) + 5 82 = (6 * 7 + n * 7) + 5 82 = (42 + 7n) + 5 Reorder the terms: 82 = 42 + 5 + 7n Combine like terms: 42 + 5 = 47 82 = 47 + 7n Solving 82 = 47 + 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 = 47 + 7n + -7n Combine like terms: 7n + -7n = 0 82 + -7n = 47 + 0 82 + -7n = 47 Add '-82' to each side of the equation. 82 + -82 + -7n = 47 + -82 Combine like terms: 82 + -82 = 0 0 + -7n = 47 + -82 -7n = 47 + -82 Combine like terms: 47 + -82 = -35 -7n = -35 Divide each side by '-7'. n = 5 Simplifying n = 5
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