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Simplifying -10w + 3 = -5 + -8w + -6w Reorder the terms: 3 + -10w = -5 + -8w + -6w Combine like terms: -8w + -6w = -14w 3 + -10w = -5 + -14w Solving 3 + -10w = -5 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 3 + -10w + 14w = -5 + -14w + 14w Combine like terms: -10w + 14w = 4w 3 + 4w = -5 + -14w + 14w Combine like terms: -14w + 14w = 0 3 + 4w = -5 + 0 3 + 4w = -5 Add '-3' to each side of the equation. 3 + -3 + 4w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = -5 + -3 4w = -5 + -3 Combine like terms: -5 + -3 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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