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Simplifying 5w + 21 = -4w + 18 Reorder the terms: 21 + 5w = -4w + 18 Reorder the terms: 21 + 5w = 18 + -4w Solving 21 + 5w = 18 + -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. 21 + 5w + 4w = 18 + -4w + 4w Combine like terms: 5w + 4w = 9w 21 + 9w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 21 + 9w = 18 + 0 21 + 9w = 18 Add '-21' to each side of the equation. 21 + -21 + 9w = 18 + -21 Combine like terms: 21 + -21 = 0 0 + 9w = 18 + -21 9w = 18 + -21 Combine like terms: 18 + -21 = -3 9w = -3 Divide each side by '9'. w = -0.3333333333 Simplifying w = -0.3333333333
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