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Simplifying 35w + 8 + -12w = 16 + -15w Reorder the terms: 8 + 35w + -12w = 16 + -15w Combine like terms: 35w + -12w = 23w 8 + 23w = 16 + -15w Solving 8 + 23w = 16 + -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. 8 + 23w + 15w = 16 + -15w + 15w Combine like terms: 23w + 15w = 38w 8 + 38w = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 8 + 38w = 16 + 0 8 + 38w = 16 Add '-8' to each side of the equation. 8 + -8 + 38w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 38w = 16 + -8 38w = 16 + -8 Combine like terms: 16 + -8 = 8 38w = 8 Divide each side by '38'. w = 0.2105263158 Simplifying w = 0.2105263158
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