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Simplifying w + 14 + w + 6 = w + 47 Reorder the terms: 14 + 6 + w + w = w + 47 Combine like terms: 14 + 6 = 20 20 + w + w = w + 47 Combine like terms: w + w = 2w 20 + 2w = w + 47 Reorder the terms: 20 + 2w = 47 + w Solving 20 + 2w = 47 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 20 + 2w + -1w = 47 + w + -1w Combine like terms: 2w + -1w = 1w 20 + 1w = 47 + w + -1w Combine like terms: w + -1w = 0 20 + 1w = 47 + 0 20 + 1w = 47 Add '-20' to each side of the equation. 20 + -20 + 1w = 47 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = 47 + -20 1w = 47 + -20 Combine like terms: 47 + -20 = 27 1w = 27 Divide each side by '1'. w = 27 Simplifying w = 27
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