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Simplifying 2(2w + -11) + 2w = 92 Reorder the terms: 2(-11 + 2w) + 2w = 92 (-11 * 2 + 2w * 2) + 2w = 92 (-22 + 4w) + 2w = 92 Combine like terms: 4w + 2w = 6w -22 + 6w = 92 Solving -22 + 6w = 92 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 = 92 + 22 Combine like terms: -22 + 22 = 0 0 + 6w = 92 + 22 6w = 92 + 22 Combine like terms: 92 + 22 = 114 6w = 114 Divide each side by '6'. w = 19 Simplifying w = 19
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