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Simplifying 22 = 2(8 + w) 22 = (8 * 2 + w * 2) 22 = (16 + 2w) Solving 22 = 16 + 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. 22 + -2w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + -2w = 16 + 0 22 + -2w = 16 Add '-22' to each side of the equation. 22 + -22 + -2w = 16 + -22 Combine like terms: 22 + -22 = 0 0 + -2w = 16 + -22 -2w = 16 + -22 Combine like terms: 16 + -22 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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