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Simplifying 5(w + -4) + 2w = 22 Reorder the terms: 5(-4 + w) + 2w = 22 (-4 * 5 + w * 5) + 2w = 22 (-20 + 5w) + 2w = 22 Combine like terms: 5w + 2w = 7w -20 + 7w = 22 Solving -20 + 7w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 7w = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 7w = 22 + 20 7w = 22 + 20 Combine like terms: 22 + 20 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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