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Simplifying 30 = 2(w) + 2(w + 5) Reorder the terms: 30 = 2w + 2(5 + w) 30 = 2w + (5 * 2 + w * 2) 30 = 2w + (10 + 2w) Reorder the terms: 30 = 10 + 2w + 2w Combine like terms: 2w + 2w = 4w 30 = 10 + 4w Solving 30 = 10 + 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. 30 + -4w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 30 + -4w = 10 + 0 30 + -4w = 10 Add '-30' to each side of the equation. 30 + -30 + -4w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4w = 10 + -30 -4w = 10 + -30 Combine like terms: 10 + -30 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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