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Simplifying -32 = 5w + -7 Reorder the terms: -32 = -7 + 5w Solving -32 = -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. -32 + -5w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 -32 + -5w = -7 + 0 -32 + -5w = -7 Add '32' to each side of the equation. -32 + 32 + -5w = -7 + 32 Combine like terms: -32 + 32 = 0 0 + -5w = -7 + 32 -5w = -7 + 32 Combine like terms: -7 + 32 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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