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Simplifying 8w + 4 + 6w + 2 = 2w + -8 Reorder the terms: 4 + 2 + 8w + 6w = 2w + -8 Combine like terms: 4 + 2 = 6 6 + 8w + 6w = 2w + -8 Combine like terms: 8w + 6w = 14w 6 + 14w = 2w + -8 Reorder the terms: 6 + 14w = -8 + 2w Solving 6 + 14w = -8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6 + 14w + -2w = -8 + 2w + -2w Combine like terms: 14w + -2w = 12w 6 + 12w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + 12w = -8 + 0 6 + 12w = -8 Add '-6' to each side of the equation. 6 + -6 + 12w = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 12w = -8 + -6 12w = -8 + -6 Combine like terms: -8 + -6 = -14 12w = -14 Divide each side by '12'. w = -1.166666667 Simplifying w = -1.166666667
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