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Simplifying 8w + 6 + -12w = -14 + w Reorder the terms: 6 + 8w + -12w = -14 + w Combine like terms: 8w + -12w = -4w 6 + -4w = -14 + w Solving 6 + -4w = -14 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 6 + -4w + -1w = -14 + w + -1w Combine like terms: -4w + -1w = -5w 6 + -5w = -14 + w + -1w Combine like terms: w + -1w = 0 6 + -5w = -14 + 0 6 + -5w = -14 Add '-6' to each side of the equation. 6 + -6 + -5w = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = -14 + -6 -5w = -14 + -6 Combine like terms: -14 + -6 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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