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Simplifying 2(2w + -10) + 2w = 22 Reorder the terms: 2(-10 + 2w) + 2w = 22 (-10 * 2 + 2w * 2) + 2w = 22 (-20 + 4w) + 2w = 22 Combine like terms: 4w + 2w = 6w -20 + 6w = 22 Solving -20 + 6w = 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 + 6w = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 6w = 22 + 20 6w = 22 + 20 Combine like terms: 22 + 20 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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