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Simplifying 27 = w + 6 + w + -3 Reorder the terms: 27 = 6 + -3 + w + w Combine like terms: 6 + -3 = 3 27 = 3 + w + w Combine like terms: w + w = 2w 27 = 3 + 2w Solving 27 = 3 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 27 + -2w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 27 + -2w = 3 + 0 27 + -2w = 3 Add '-27' to each side of the equation. 27 + -27 + -2w = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -2w = 3 + -27 -2w = 3 + -27 Combine like terms: 3 + -27 = -24 -2w = -24 Divide each side by '-2'. w = 12 Simplifying w = 12
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