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Simplifying 5w + 30 = 2w + 36w Reorder the terms: 30 + 5w = 2w + 36w Combine like terms: 2w + 36w = 38w 30 + 5w = 38w Solving 30 + 5w = 38w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-38w' to each side of the equation. 30 + 5w + -38w = 38w + -38w Combine like terms: 5w + -38w = -33w 30 + -33w = 38w + -38w Combine like terms: 38w + -38w = 0 30 + -33w = 0 Add '-30' to each side of the equation. 30 + -30 + -33w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -33w = 0 + -30 -33w = 0 + -30 Combine like terms: 0 + -30 = -30 -33w = -30 Divide each side by '-33'. w = 0.9090909091 Simplifying w = 0.9090909091
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