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Simplifying 9 + 27w = 4w + 21 Reorder the terms: 9 + 27w = 21 + 4w Solving 9 + 27w = 21 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 9 + 27w + -4w = 21 + 4w + -4w Combine like terms: 27w + -4w = 23w 9 + 23w = 21 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + 23w = 21 + 0 9 + 23w = 21 Add '-9' to each side of the equation. 9 + -9 + 23w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 23w = 21 + -9 23w = 21 + -9 Combine like terms: 21 + -9 = 12 23w = 12 Divide each side by '23'. w = 0.5217391304 Simplifying w = 0.5217391304
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