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