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Simplifying 40 + 50w = 150 + 30w Solving 40 + 50w = 150 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 40 + 50w + -30w = 150 + 30w + -30w Combine like terms: 50w + -30w = 20w 40 + 20w = 150 + 30w + -30w Combine like terms: 30w + -30w = 0 40 + 20w = 150 + 0 40 + 20w = 150 Add '-40' to each side of the equation. 40 + -40 + 20w = 150 + -40 Combine like terms: 40 + -40 = 0 0 + 20w = 150 + -40 20w = 150 + -40 Combine like terms: 150 + -40 = 110 20w = 110 Divide each side by '20'. w = 5.5 Simplifying w = 5.5
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