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Simplifying 2(2w + -5) + 2w = 122 Reorder the terms: 2(-5 + 2w) + 2w = 122 (-5 * 2 + 2w * 2) + 2w = 122 (-10 + 4w) + 2w = 122 Combine like terms: 4w + 2w = 6w -10 + 6w = 122 Solving -10 + 6w = 122 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6w = 122 + 10 Combine like terms: -10 + 10 = 0 0 + 6w = 122 + 10 6w = 122 + 10 Combine like terms: 122 + 10 = 132 6w = 132 Divide each side by '6'. w = 22 Simplifying w = 22
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