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Simplifying 27 = 5w + 7 Reorder the terms: 27 = 7 + 5w Solving 27 = 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. 27 + -5w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 27 + -5w = 7 + 0 27 + -5w = 7 Add '-27' to each side of the equation. 27 + -27 + -5w = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -5w = 7 + -27 -5w = 7 + -27 Combine like terms: 7 + -27 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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