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Simplifying 9w + 8 = 21w + -4 Reorder the terms: 8 + 9w = 21w + -4 Reorder the terms: 8 + 9w = -4 + 21w Solving 8 + 9w = -4 + 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 = -4 + 21w + -21w Combine like terms: 9w + -21w = -12w 8 + -12w = -4 + 21w + -21w Combine like terms: 21w + -21w = 0 8 + -12w = -4 + 0 8 + -12w = -4 Add '-8' to each side of the equation. 8 + -8 + -12w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -12w = -4 + -8 -12w = -4 + -8 Combine like terms: -4 + -8 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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