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Simplifying 30 = 2(6 + w) 30 = (6 * 2 + w * 2) 30 = (12 + 2w) Solving 30 = 12 + 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. 30 + -2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -2w = 12 + 0 30 + -2w = 12 Add '-30' to each side of the equation. 30 + -30 + -2w = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = 12 + -30 -2w = 12 + -30 Combine like terms: 12 + -30 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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