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Simplifying 21 = -7w + 2(w + 8) Reorder the terms: 21 = -7w + 2(8 + w) 21 = -7w + (8 * 2 + w * 2) 21 = -7w + (16 + 2w) Reorder the terms: 21 = 16 + -7w + 2w Combine like terms: -7w + 2w = -5w 21 = 16 + -5w Solving 21 = 16 + -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. 21 + 5w = 16 + -5w + 5w Combine like terms: -5w + 5w = 0 21 + 5w = 16 + 0 21 + 5w = 16 Add '-21' to each side of the equation. 21 + -21 + 5w = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 5w = 16 + -21 5w = 16 + -21 Combine like terms: 16 + -21 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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