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Simplifying 5w + -32 = -3w Reorder the terms: -32 + 5w = -3w Solving -32 + 5w = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -32 + 5w + 3w = -3w + 3w Combine like terms: 5w + 3w = 8w -32 + 8w = -3w + 3w Combine like terms: -3w + 3w = 0 -32 + 8w = 0 Add '32' to each side of the equation. -32 + 32 + 8w = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8w = 0 + 32 8w = 0 + 32 Combine like terms: 0 + 32 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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