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Simplifying 5w + 7w + -2 = 6 + -14w + 2w Reorder the terms: -2 + 5w + 7w = 6 + -14w + 2w Combine like terms: 5w + 7w = 12w -2 + 12w = 6 + -14w + 2w Combine like terms: -14w + 2w = -12w -2 + 12w = 6 + -12w Solving -2 + 12w = 6 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -2 + 12w + 12w = 6 + -12w + 12w Combine like terms: 12w + 12w = 24w -2 + 24w = 6 + -12w + 12w Combine like terms: -12w + 12w = 0 -2 + 24w = 6 + 0 -2 + 24w = 6 Add '2' to each side of the equation. -2 + 2 + 24w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 24w = 6 + 2 24w = 6 + 2 Combine like terms: 6 + 2 = 8 24w = 8 Divide each side by '24'. w = 0.3333333333 Simplifying w = 0.3333333333
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