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Simplifying 12w + -9 = 9w + 33 Reorder the terms: -9 + 12w = 9w + 33 Reorder the terms: -9 + 12w = 33 + 9w Solving -9 + 12w = 33 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -9 + 12w + -9w = 33 + 9w + -9w Combine like terms: 12w + -9w = 3w -9 + 3w = 33 + 9w + -9w Combine like terms: 9w + -9w = 0 -9 + 3w = 33 + 0 -9 + 3w = 33 Add '9' to each side of the equation. -9 + 9 + 3w = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 3w = 33 + 9 3w = 33 + 9 Combine like terms: 33 + 9 = 42 3w = 42 Divide each side by '3'. w = 14 Simplifying w = 14
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