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Simplifying 74 = 5w + -11 Reorder the terms: 74 = -11 + 5w Solving 74 = -11 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 74 + -5w = -11 + 5w + -5w Combine like terms: 5w + -5w = 0 74 + -5w = -11 + 0 74 + -5w = -11 Add '-74' to each side of the equation. 74 + -74 + -5w = -11 + -74 Combine like terms: 74 + -74 = 0 0 + -5w = -11 + -74 -5w = -11 + -74 Combine like terms: -11 + -74 = -85 -5w = -85 Divide each side by '-5'. w = 17 Simplifying w = 17
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