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Simplifying 9 = -7w + 12 + -6 Reorder the terms: 9 = 12 + -6 + -7w Combine like terms: 12 + -6 = 6 9 = 6 + -7w Solving 9 = 6 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 9 + 7w = 6 + -7w + 7w Combine like terms: -7w + 7w = 0 9 + 7w = 6 + 0 9 + 7w = 6 Add '-9' to each side of the equation. 9 + -9 + 7w = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 7w = 6 + -9 7w = 6 + -9 Combine like terms: 6 + -9 = -3 7w = -3 Divide each side by '7'. w = -0.4285714286 Simplifying w = -0.4285714286
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