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Simplifying 26 = 2w + (2w + 10) Reorder the terms: 26 = 2w + (10 + 2w) Remove parenthesis around (10 + 2w) 26 = 2w + 10 + 2w Reorder the terms: 26 = 10 + 2w + 2w Combine like terms: 2w + 2w = 4w 26 = 10 + 4w Solving 26 = 10 + 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. 26 + -4w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 26 + -4w = 10 + 0 26 + -4w = 10 Add '-26' to each side of the equation. 26 + -26 + -4w = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -4w = 10 + -26 -4w = 10 + -26 Combine like terms: 10 + -26 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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