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Simplifying 21 + 7w = 12 + 6w Solving 21 + 7w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 21 + 7w + -6w = 12 + 6w + -6w Combine like terms: 7w + -6w = 1w 21 + 1w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 21 + 1w = 12 + 0 21 + 1w = 12 Add '-21' to each side of the equation. 21 + -21 + 1w = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 1w = 12 + -21 1w = 12 + -21 Combine like terms: 12 + -21 = -9 1w = -9 Divide each side by '1'. w = -9 Simplifying w = -9
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