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Simplifying 34 = 2(w + 8) + 2w Reorder the terms: 34 = 2(8 + w) + 2w 34 = (8 * 2 + w * 2) + 2w 34 = (16 + 2w) + 2w Combine like terms: 2w + 2w = 4w 34 = 16 + 4w Solving 34 = 16 + 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. 34 + -4w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 34 + -4w = 16 + 0 34 + -4w = 16 Add '-34' to each side of the equation. 34 + -34 + -4w = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -4w = 16 + -34 -4w = 16 + -34 Combine like terms: 16 + -34 = -18 -4w = -18 Divide each side by '-4'. w = 4.5 Simplifying w = 4.5
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