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Simplifying 82 = 4n + 10 Reorder the terms: 82 = 10 + 4n Solving 82 = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 82 + -4n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 82 + -4n = 10 + 0 82 + -4n = 10 Add '-82' to each side of the equation. 82 + -82 + -4n = 10 + -82 Combine like terms: 82 + -82 = 0 0 + -4n = 10 + -82 -4n = 10 + -82 Combine like terms: 10 + -82 = -72 -4n = -72 Divide each side by '-4'. n = 18 Simplifying n = 18
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