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Simplifying 8 + 9w = 2 + 21w Solving 8 + 9w = 2 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 8 + 9w + -21w = 2 + 21w + -21w Combine like terms: 9w + -21w = -12w 8 + -12w = 2 + 21w + -21w Combine like terms: 21w + -21w = 0 8 + -12w = 2 + 0 8 + -12w = 2 Add '-8' to each side of the equation. 8 + -8 + -12w = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -12w = 2 + -8 -12w = 2 + -8 Combine like terms: 2 + -8 = -6 -12w = -6 Divide each side by '-12'. w = 0.5 Simplifying w = 0.5
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