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Simplifying 22 = -5w + 7(w + 2) Reorder the terms: 22 = -5w + 7(2 + w) 22 = -5w + (2 * 7 + w * 7) 22 = -5w + (14 + 7w) Reorder the terms: 22 = 14 + -5w + 7w Combine like terms: -5w + 7w = 2w 22 = 14 + 2w Solving 22 = 14 + 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. 22 + -2w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + -2w = 14 + 0 22 + -2w = 14 Add '-22' to each side of the equation. 22 + -22 + -2w = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -2w = 14 + -22 -2w = 14 + -22 Combine like terms: 14 + -22 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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