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Simplifying 82 = 4w + 14 Reorder the terms: 82 = 14 + 4w Solving 82 = 14 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 82 + -4w = 14 + 4w + -4w Combine like terms: 4w + -4w = 0 82 + -4w = 14 + 0 82 + -4w = 14 Add '-82' to each side of the equation. 82 + -82 + -4w = 14 + -82 Combine like terms: 82 + -82 = 0 0 + -4w = 14 + -82 -4w = 14 + -82 Combine like terms: 14 + -82 = -68 -4w = -68 Divide each side by '-4'. w = 17 Simplifying w = 17
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