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Simplifying -6w + 12 = 8w + -32 Reorder the terms: 12 + -6w = 8w + -32 Reorder the terms: 12 + -6w = -32 + 8w Solving 12 + -6w = -32 + 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 + -6w + -8w = -32 + 8w + -8w Combine like terms: -6w + -8w = -14w 12 + -14w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -14w = -32 + 0 12 + -14w = -32 Add '-12' to each side of the equation. 12 + -12 + -14w = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -14w = -32 + -12 -14w = -32 + -12 Combine like terms: -32 + -12 = -44 -14w = -44 Divide each side by '-14'. w = 3.142857143 Simplifying w = 3.142857143
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