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Simplifying 2(2w + -11) + 2w = 74 Reorder the terms: 2(-11 + 2w) + 2w = 74 (-11 * 2 + 2w * 2) + 2w = 74 (-22 + 4w) + 2w = 74 Combine like terms: 4w + 2w = 6w -22 + 6w = 74 Solving -22 + 6w = 74 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6w = 74 + 22 Combine like terms: -22 + 22 = 0 0 + 6w = 74 + 22 6w = 74 + 22 Combine like terms: 74 + 22 = 96 6w = 96 Divide each side by '6'. w = 16 Simplifying w = 16
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