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Simplifying 3w + 6 = 6 + -12w Reorder the terms: 6 + 3w = 6 + -12w Add '-6' to each side of the equation. 6 + -6 + 3w = 6 + -6 + -12w Combine like terms: 6 + -6 = 0 0 + 3w = 6 + -6 + -12w 3w = 6 + -6 + -12w Combine like terms: 6 + -6 = 0 3w = 0 + -12w 3w = -12w Solving 3w = -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 3w + 12w = -12w + 12w Combine like terms: 3w + 12w = 15w 15w = -12w + 12w Combine like terms: -12w + 12w = 0 15w = 0 Divide each side by '15'. w = 0 Simplifying w = 0
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