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Simplifying 22 = 5(w + 6) + 3w Reorder the terms: 22 = 5(6 + w) + 3w 22 = (6 * 5 + w * 5) + 3w 22 = (30 + 5w) + 3w Combine like terms: 5w + 3w = 8w 22 = 30 + 8w Solving 22 = 30 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 22 + -8w = 30 + 8w + -8w Combine like terms: 8w + -8w = 0 22 + -8w = 30 + 0 22 + -8w = 30 Add '-22' to each side of the equation. 22 + -22 + -8w = 30 + -22 Combine like terms: 22 + -22 = 0 0 + -8w = 30 + -22 -8w = 30 + -22 Combine like terms: 30 + -22 = 8 -8w = 8 Divide each side by '-8'. w = -1 Simplifying w = -1
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