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Simplifying 90 = 2(11 + w) + 2w 90 = (11 * 2 + w * 2) + 2w 90 = (22 + 2w) + 2w Combine like terms: 2w + 2w = 4w 90 = 22 + 4w Solving 90 = 22 + 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. 90 + -4w = 22 + 4w + -4w Combine like terms: 4w + -4w = 0 90 + -4w = 22 + 0 90 + -4w = 22 Add '-90' to each side of the equation. 90 + -90 + -4w = 22 + -90 Combine like terms: 90 + -90 = 0 0 + -4w = 22 + -90 -4w = 22 + -90 Combine like terms: 22 + -90 = -68 -4w = -68 Divide each side by '-4'. w = 17 Simplifying w = 17
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