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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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