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Simplifying 2(w + 7) = 4w Reorder the terms: 2(7 + w) = 4w (7 * 2 + w * 2) = 4w (14 + 2w) = 4w Solving 14 + 2w = 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. 14 + 2w + -4w = 4w + -4w Combine like terms: 2w + -4w = -2w 14 + -2w = 4w + -4w Combine like terms: 4w + -4w = 0 14 + -2w = 0 Add '-14' to each side of the equation. 14 + -14 + -2w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2w = 0 + -14 -2w = 0 + -14 Combine like terms: 0 + -14 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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