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Simplifying 15 + -5w = 75 + -10w Solving 15 + -5w = 75 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 15 + -5w + 10w = 75 + -10w + 10w Combine like terms: -5w + 10w = 5w 15 + 5w = 75 + -10w + 10w Combine like terms: -10w + 10w = 0 15 + 5w = 75 + 0 15 + 5w = 75 Add '-15' to each side of the equation. 15 + -15 + 5w = 75 + -15 Combine like terms: 15 + -15 = 0 0 + 5w = 75 + -15 5w = 75 + -15 Combine like terms: 75 + -15 = 60 5w = 60 Divide each side by '5'. w = 12 Simplifying w = 12
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