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Simplifying -3w + 8 = 12w + 9 + -6w Reorder the terms: 8 + -3w = 12w + 9 + -6w Reorder the terms: 8 + -3w = 9 + 12w + -6w Combine like terms: 12w + -6w = 6w 8 + -3w = 9 + 6w Solving 8 + -3w = 9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 8 + -3w + -6w = 9 + 6w + -6w Combine like terms: -3w + -6w = -9w 8 + -9w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -9w = 9 + 0 8 + -9w = 9 Add '-8' to each side of the equation. 8 + -8 + -9w = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -9w = 9 + -8 -9w = 9 + -8 Combine like terms: 9 + -8 = 1 -9w = 1 Divide each side by '-9'. w = -0.1111111111 Simplifying w = -0.1111111111
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