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Simplifying 9w + 7 = 4 + -4w Reorder the terms: 7 + 9w = 4 + -4w Solving 7 + 9w = 4 + -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. 7 + 9w + 4w = 4 + -4w + 4w Combine like terms: 9w + 4w = 13w 7 + 13w = 4 + -4w + 4w Combine like terms: -4w + 4w = 0 7 + 13w = 4 + 0 7 + 13w = 4 Add '-7' to each side of the equation. 7 + -7 + 13w = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 13w = 4 + -7 13w = 4 + -7 Combine like terms: 4 + -7 = -3 13w = -3 Divide each side by '13'. w = -0.2307692308 Simplifying w = -0.2307692308
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