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Simplifying w + 21 = -5w + -33 Reorder the terms: 21 + w = -5w + -33 Reorder the terms: 21 + w = -33 + -5w Solving 21 + w = -33 + -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. 21 + w + 5w = -33 + -5w + 5w Combine like terms: w + 5w = 6w 21 + 6w = -33 + -5w + 5w Combine like terms: -5w + 5w = 0 21 + 6w = -33 + 0 21 + 6w = -33 Add '-21' to each side of the equation. 21 + -21 + 6w = -33 + -21 Combine like terms: 21 + -21 = 0 0 + 6w = -33 + -21 6w = -33 + -21 Combine like terms: -33 + -21 = -54 6w = -54 Divide each side by '6'. w = -9 Simplifying w = -9
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