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Simplifying 52 = 5w + 7 Reorder the terms: 52 = 7 + 5w Solving 52 = 7 + 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. 52 + -5w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 52 + -5w = 7 + 0 52 + -5w = 7 Add '-52' to each side of the equation. 52 + -52 + -5w = 7 + -52 Combine like terms: 52 + -52 = 0 0 + -5w = 7 + -52 -5w = 7 + -52 Combine like terms: 7 + -52 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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