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Simplifying -9 = 4(w + -5) + 7w Reorder the terms: -9 = 4(-5 + w) + 7w -9 = (-5 * 4 + w * 4) + 7w -9 = (-20 + 4w) + 7w Combine like terms: 4w + 7w = 11w -9 = -20 + 11w Solving -9 = -20 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -9 + -11w = -20 + 11w + -11w Combine like terms: 11w + -11w = 0 -9 + -11w = -20 + 0 -9 + -11w = -20 Add '9' to each side of the equation. -9 + 9 + -11w = -20 + 9 Combine like terms: -9 + 9 = 0 0 + -11w = -20 + 9 -11w = -20 + 9 Combine like terms: -20 + 9 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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