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Simplifying 82 = 2w + 44 Reorder the terms: 82 = 44 + 2w Solving 82 = 44 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 82 + -2w = 44 + 2w + -2w Combine like terms: 2w + -2w = 0 82 + -2w = 44 + 0 82 + -2w = 44 Add '-82' to each side of the equation. 82 + -82 + -2w = 44 + -82 Combine like terms: 82 + -82 = 0 0 + -2w = 44 + -82 -2w = 44 + -82 Combine like terms: 44 + -82 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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