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Simplifying 12 + 7w = 5 + 21w Solving 12 + 7w = 5 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 12 + 7w + -21w = 5 + 21w + -21w Combine like terms: 7w + -21w = -14w 12 + -14w = 5 + 21w + -21w Combine like terms: 21w + -21w = 0 12 + -14w = 5 + 0 12 + -14w = 5 Add '-12' to each side of the equation. 12 + -12 + -14w = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -14w = 5 + -12 -14w = 5 + -12 Combine like terms: 5 + -12 = -7 -14w = -7 Divide each side by '-14'. w = 0.5 Simplifying w = 0.5
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