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Simplifying 105 + -5w = 45 + -10w Solving 105 + -5w = 45 + -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. 105 + -5w + 10w = 45 + -10w + 10w Combine like terms: -5w + 10w = 5w 105 + 5w = 45 + -10w + 10w Combine like terms: -10w + 10w = 0 105 + 5w = 45 + 0 105 + 5w = 45 Add '-105' to each side of the equation. 105 + -105 + 5w = 45 + -105 Combine like terms: 105 + -105 = 0 0 + 5w = 45 + -105 5w = 45 + -105 Combine like terms: 45 + -105 = -60 5w = -60 Divide each side by '5'. w = -12 Simplifying w = -12
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