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Simplifying 9 = 6 + -7w + 12w + -6 Reorder the terms: 9 = 6 + -6 + -7w + 12w Combine like terms: 6 + -6 = 0 9 = 0 + -7w + 12w 9 = -7w + 12w Combine like terms: -7w + 12w = 5w 9 = 5w Solving 9 = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 9 + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 9 + -5w = 0 Add '-9' to each side of the equation. 9 + -9 + -5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = 0 + -9 -5w = 0 + -9 Combine like terms: 0 + -9 = -9 -5w = -9 Divide each side by '-5'. w = 1.8 Simplifying w = 1.8
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