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Simplifying 7(w + 2) = 4 + 2w Reorder the terms: 7(2 + w) = 4 + 2w (2 * 7 + w * 7) = 4 + 2w (14 + 7w) = 4 + 2w Solving 14 + 7w = 4 + 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. 14 + 7w + -2w = 4 + 2w + -2w Combine like terms: 7w + -2w = 5w 14 + 5w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + 5w = 4 + 0 14 + 5w = 4 Add '-14' to each side of the equation. 14 + -14 + 5w = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 5w = 4 + -14 5w = 4 + -14 Combine like terms: 4 + -14 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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