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Simplifying 22 = 3(w + 4) + -5w Reorder the terms: 22 = 3(4 + w) + -5w 22 = (4 * 3 + w * 3) + -5w 22 = (12 + 3w) + -5w Combine like terms: 3w + -5w = -2w 22 = 12 + -2w Solving 22 = 12 + -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 = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 22 + 2w = 12 + 0 22 + 2w = 12 Add '-22' to each side of the equation. 22 + -22 + 2w = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = 12 + -22 2w = 12 + -22 Combine like terms: 12 + -22 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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