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Simplifying 22 = 2(5 + 2w) + 2w 22 = (5 * 2 + 2w * 2) + 2w 22 = (10 + 4w) + 2w Combine like terms: 4w + 2w = 6w 22 = 10 + 6w Solving 22 = 10 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 22 + -6w = 10 + 6w + -6w Combine like terms: 6w + -6w = 0 22 + -6w = 10 + 0 22 + -6w = 10 Add '-22' to each side of the equation. 22 + -22 + -6w = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -6w = 10 + -22 -6w = 10 + -22 Combine like terms: 10 + -22 = -12 -6w = -12 Divide each side by '-6'. w = 2 Simplifying w = 2
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