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Simplifying 4w + -6 = 16 + -7w Reorder the terms: -6 + 4w = 16 + -7w Solving -6 + 4w = 16 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -6 + 4w + 7w = 16 + -7w + 7w Combine like terms: 4w + 7w = 11w -6 + 11w = 16 + -7w + 7w Combine like terms: -7w + 7w = 0 -6 + 11w = 16 + 0 -6 + 11w = 16 Add '6' to each side of the equation. -6 + 6 + 11w = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 11w = 16 + 6 11w = 16 + 6 Combine like terms: 16 + 6 = 22 11w = 22 Divide each side by '11'. w = 2 Simplifying w = 2
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