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Simplifying 24 + -6w = 3.5 + 3w Solving 24 + -6w = 3.5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 24 + -6w + -3w = 3.5 + 3w + -3w Combine like terms: -6w + -3w = -9w 24 + -9w = 3.5 + 3w + -3w Combine like terms: 3w + -3w = 0 24 + -9w = 3.5 + 0 24 + -9w = 3.5 Add '-24' to each side of the equation. 24 + -24 + -9w = 3.5 + -24 Combine like terms: 24 + -24 = 0 0 + -9w = 3.5 + -24 -9w = 3.5 + -24 Combine like terms: 3.5 + -24 = -20.5 -9w = -20.5 Divide each side by '-9'. w = 2.277777778 Simplifying w = 2.277777778
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