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Simplifying -4w + 8 = 17 + 7w Reorder the terms: 8 + -4w = 17 + 7w Solving 8 + -4w = 17 + 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. 8 + -4w + -7w = 17 + 7w + -7w Combine like terms: -4w + -7w = -11w 8 + -11w = 17 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -11w = 17 + 0 8 + -11w = 17 Add '-8' to each side of the equation. 8 + -8 + -11w = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -11w = 17 + -8 -11w = 17 + -8 Combine like terms: 17 + -8 = 9 -11w = 9 Divide each side by '-11'. w = -0.8181818182 Simplifying w = -0.8181818182
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