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Simplifying 8w + -9 = 5w + 21 Reorder the terms: -9 + 8w = 5w + 21 Reorder the terms: -9 + 8w = 21 + 5w Solving -9 + 8w = 21 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -9 + 8w + -5w = 21 + 5w + -5w Combine like terms: 8w + -5w = 3w -9 + 3w = 21 + 5w + -5w Combine like terms: 5w + -5w = 0 -9 + 3w = 21 + 0 -9 + 3w = 21 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 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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