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Simplifying 2(26 + 3w) = 2(36 + w) (26 * 2 + 3w * 2) = 2(36 + w) (52 + 6w) = 2(36 + w) 52 + 6w = (36 * 2 + w * 2) 52 + 6w = (72 + 2w) Solving 52 + 6w = 72 + 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. 52 + 6w + -2w = 72 + 2w + -2w Combine like terms: 6w + -2w = 4w 52 + 4w = 72 + 2w + -2w Combine like terms: 2w + -2w = 0 52 + 4w = 72 + 0 52 + 4w = 72 Add '-52' to each side of the equation. 52 + -52 + 4w = 72 + -52 Combine like terms: 52 + -52 = 0 0 + 4w = 72 + -52 4w = 72 + -52 Combine like terms: 72 + -52 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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