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Simplifying w + 1 + -4w + 8 = 21 Reorder the terms: 1 + 8 + w + -4w = 21 Combine like terms: 1 + 8 = 9 9 + w + -4w = 21 Combine like terms: w + -4w = -3w 9 + -3w = 21 Solving 9 + -3w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = 21 + -9 -3w = 21 + -9 Combine like terms: 21 + -9 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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