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Simplifying 2w + -8 = 2w + 2 + 12w + 4 Reorder the terms: -8 + 2w = 2w + 2 + 12w + 4 Reorder the terms: -8 + 2w = 2 + 4 + 2w + 12w Combine like terms: 2 + 4 = 6 -8 + 2w = 6 + 2w + 12w Combine like terms: 2w + 12w = 14w -8 + 2w = 6 + 14w Solving -8 + 2w = 6 + 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. -8 + 2w + -14w = 6 + 14w + -14w Combine like terms: 2w + -14w = -12w -8 + -12w = 6 + 14w + -14w Combine like terms: 14w + -14w = 0 -8 + -12w = 6 + 0 -8 + -12w = 6 Add '8' to each side of the equation. -8 + 8 + -12w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -12w = 6 + 8 -12w = 6 + 8 Combine like terms: 6 + 8 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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