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Simplifying 4(w + 6) = 2w + 36 Reorder the terms: 4(6 + w) = 2w + 36 (6 * 4 + w * 4) = 2w + 36 (24 + 4w) = 2w + 36 Reorder the terms: 24 + 4w = 36 + 2w Solving 24 + 4w = 36 + 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. 24 + 4w + -2w = 36 + 2w + -2w Combine like terms: 4w + -2w = 2w 24 + 2w = 36 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + 2w = 36 + 0 24 + 2w = 36 Add '-24' to each side of the equation. 24 + -24 + 2w = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2w = 36 + -24 2w = 36 + -24 Combine like terms: 36 + -24 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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