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Simplifying 3w + 9 = 2.5w + 3 Reorder the terms: 9 + 3w = 2.5w + 3 Reorder the terms: 9 + 3w = 3 + 2.5w Solving 9 + 3w = 3 + 2.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5w' to each side of the equation. 9 + 3w + -2.5w = 3 + 2.5w + -2.5w Combine like terms: 3w + -2.5w = 0.5w 9 + 0.5w = 3 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 9 + 0.5w = 3 + 0.0 9 + 0.5w = 3 Add '-9' to each side of the equation. 9 + -9 + 0.5w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 0.5w = 3 + -9 0.5w = 3 + -9 Combine like terms: 3 + -9 = -6 0.5w = -6 Divide each side by '0.5'. w = -12 Simplifying w = -12
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