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Simplifying 28 = 2(w + 4) + -7w Reorder the terms: 28 = 2(4 + w) + -7w 28 = (4 * 2 + w * 2) + -7w 28 = (8 + 2w) + -7w Combine like terms: 2w + -7w = -5w 28 = 8 + -5w Solving 28 = 8 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 28 + 5w = 8 + -5w + 5w Combine like terms: -5w + 5w = 0 28 + 5w = 8 + 0 28 + 5w = 8 Add '-28' to each side of the equation. 28 + -28 + 5w = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 5w = 8 + -28 5w = 8 + -28 Combine like terms: 8 + -28 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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