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Simplifying 7w + -9 = 13 + -4w Reorder the terms: -9 + 7w = 13 + -4w Solving -9 + 7w = 13 + -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. -9 + 7w + 4w = 13 + -4w + 4w Combine like terms: 7w + 4w = 11w -9 + 11w = 13 + -4w + 4w Combine like terms: -4w + 4w = 0 -9 + 11w = 13 + 0 -9 + 11w = 13 Add '9' to each side of the equation. -9 + 9 + 11w = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 11w = 13 + 9 11w = 13 + 9 Combine like terms: 13 + 9 = 22 11w = 22 Divide each side by '11'. w = 2 Simplifying w = 2
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