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Simplifying 2(2w + -13.6) + 2w = 107.2 Reorder the terms: 2(-13.6 + 2w) + 2w = 107.2 (-13.6 * 2 + 2w * 2) + 2w = 107.2 (-27.2 + 4w) + 2w = 107.2 Combine like terms: 4w + 2w = 6w -27.2 + 6w = 107.2 Solving -27.2 + 6w = 107.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27.2' to each side of the equation. -27.2 + 27.2 + 6w = 107.2 + 27.2 Combine like terms: -27.2 + 27.2 = 0.0 0.0 + 6w = 107.2 + 27.2 6w = 107.2 + 27.2 Combine like terms: 107.2 + 27.2 = 134.4 6w = 134.4 Divide each side by '6'. w = 22.4 Simplifying w = 22.4
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