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Simplifying 9w + 21 = 3w + -21 Reorder the terms: 21 + 9w = 3w + -21 Reorder the terms: 21 + 9w = -21 + 3w Solving 21 + 9w = -21 + 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. 21 + 9w + -3w = -21 + 3w + -3w Combine like terms: 9w + -3w = 6w 21 + 6w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + 6w = -21 + 0 21 + 6w = -21 Add '-21' to each side of the equation. 21 + -21 + 6w = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 6w = -21 + -21 6w = -21 + -21 Combine like terms: -21 + -21 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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