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Simplifying 22 = -3w + 5(w + 2) Reorder the terms: 22 = -3w + 5(2 + w) 22 = -3w + (2 * 5 + w * 5) 22 = -3w + (10 + 5w) Reorder the terms: 22 = 10 + -3w + 5w Combine like terms: -3w + 5w = 2w 22 = 10 + 2w Solving 22 = 10 + 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 = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + -2w = 10 + 0 22 + -2w = 10 Add '-22' to each side of the equation. 22 + -22 + -2w = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -2w = 10 + -22 -2w = 10 + -22 Combine like terms: 10 + -22 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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