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Simplifying 7w + -3 + 4w = 8 + -3w Reorder the terms: -3 + 7w + 4w = 8 + -3w Combine like terms: 7w + 4w = 11w -3 + 11w = 8 + -3w Solving -3 + 11w = 8 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -3 + 11w + 3w = 8 + -3w + 3w Combine like terms: 11w + 3w = 14w -3 + 14w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 -3 + 14w = 8 + 0 -3 + 14w = 8 Add '3' to each side of the equation. -3 + 3 + 14w = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 14w = 8 + 3 14w = 8 + 3 Combine like terms: 8 + 3 = 11 14w = 11 Divide each side by '14'. w = 0.7857142857 Simplifying w = 0.7857142857
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