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Simplifying 4w + -32 = 5w + -67 Reorder the terms: -32 + 4w = 5w + -67 Reorder the terms: -32 + 4w = -67 + 5w Solving -32 + 4w = -67 + 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 + 4w + -5w = -67 + 5w + -5w Combine like terms: 4w + -5w = -1w -32 + -1w = -67 + 5w + -5w Combine like terms: 5w + -5w = 0 -32 + -1w = -67 + 0 -32 + -1w = -67 Add '32' to each side of the equation. -32 + 32 + -1w = -67 + 32 Combine like terms: -32 + 32 = 0 0 + -1w = -67 + 32 -1w = -67 + 32 Combine like terms: -67 + 32 = -35 -1w = -35 Divide each side by '-1'. w = 35 Simplifying w = 35
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