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Simplifying 7w + -3 = 42 + -4w Reorder the terms: -3 + 7w = 42 + -4w Solving -3 + 7w = 42 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -3 + 7w + 4w = 42 + -4w + 4w Combine like terms: 7w + 4w = 11w -3 + 11w = 42 + -4w + 4w Combine like terms: -4w + 4w = 0 -3 + 11w = 42 + 0 -3 + 11w = 42 Add '3' to each side of the equation. -3 + 3 + 11w = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 11w = 42 + 3 11w = 42 + 3 Combine like terms: 42 + 3 = 45 11w = 45 Divide each side by '11'. w = 4.090909091 Simplifying w = 4.090909091
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