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Simplifying 30 = 2(w + 3) + 2w Reorder the terms: 30 = 2(3 + w) + 2w 30 = (3 * 2 + w * 2) + 2w 30 = (6 + 2w) + 2w Combine like terms: 2w + 2w = 4w 30 = 6 + 4w Solving 30 = 6 + 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 = 6 + 4w + -4w Combine like terms: 4w + -4w = 0 30 + -4w = 6 + 0 30 + -4w = 6 Add '-30' to each side of the equation. 30 + -30 + -4w = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -4w = 6 + -30 -4w = 6 + -30 Combine like terms: 6 + -30 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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