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Simplifying 2(2w + -3) + 2w = 27 Reorder the terms: 2(-3 + 2w) + 2w = 27 (-3 * 2 + 2w * 2) + 2w = 27 (-6 + 4w) + 2w = 27 Combine like terms: 4w + 2w = 6w -6 + 6w = 27 Solving -6 + 6w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6w = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = 27 + 6 6w = 27 + 6 Combine like terms: 27 + 6 = 33 6w = 33 Divide each side by '6'. w = 5.5 Simplifying w = 5.5
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