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Simplifying 0 = -3.5w + 2 + 5w + 10 Reorder the terms: 0 = 2 + 10 + -3.5w + 5w Combine like terms: 2 + 10 = 12 0 = 12 + -3.5w + 5w Combine like terms: -3.5w + 5w = 1.5w 0 = 12 + 1.5w Solving 0 = 12 + 1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5w' to each side of the equation. 0 + -1.5w = 12 + 1.5w + -1.5w Remove the zero: -1.5w = 12 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 -1.5w = 12 + 0.0 -1.5w = 12 Divide each side by '-1.5'. w = -8 Simplifying w = -8
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