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Simplifying 6w + 33 = 30 + 15w Reorder the terms: 33 + 6w = 30 + 15w Solving 33 + 6w = 30 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 33 + 6w + -15w = 30 + 15w + -15w Combine like terms: 6w + -15w = -9w 33 + -9w = 30 + 15w + -15w Combine like terms: 15w + -15w = 0 33 + -9w = 30 + 0 33 + -9w = 30 Add '-33' to each side of the equation. 33 + -33 + -9w = 30 + -33 Combine like terms: 33 + -33 = 0 0 + -9w = 30 + -33 -9w = 30 + -33 Combine like terms: 30 + -33 = -3 -9w = -3 Divide each side by '-9'. w = 0.3333333333 Simplifying w = 0.3333333333
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