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Simplifying 12w + 4 = 9w + 22 + -6w Reorder the terms: 4 + 12w = 9w + 22 + -6w Reorder the terms: 4 + 12w = 22 + 9w + -6w Combine like terms: 9w + -6w = 3w 4 + 12w = 22 + 3w Solving 4 + 12w = 22 + 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. 4 + 12w + -3w = 22 + 3w + -3w Combine like terms: 12w + -3w = 9w 4 + 9w = 22 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + 9w = 22 + 0 4 + 9w = 22 Add '-4' to each side of the equation. 4 + -4 + 9w = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 9w = 22 + -4 9w = 22 + -4 Combine like terms: 22 + -4 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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