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Simplifying 4w + 24 = -3w + -32 Reorder the terms: 24 + 4w = -3w + -32 Reorder the terms: 24 + 4w = -32 + -3w Solving 24 + 4w = -32 + -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. 24 + 4w + 3w = -32 + -3w + 3w Combine like terms: 4w + 3w = 7w 24 + 7w = -32 + -3w + 3w Combine like terms: -3w + 3w = 0 24 + 7w = -32 + 0 24 + 7w = -32 Add '-24' to each side of the equation. 24 + -24 + 7w = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 7w = -32 + -24 7w = -32 + -24 Combine like terms: -32 + -24 = -56 7w = -56 Divide each side by '7'. w = -8 Simplifying w = -8
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