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Simplifying 5 = 6w + 5(w + -5) Reorder the terms: 5 = 6w + 5(-5 + w) 5 = 6w + (-5 * 5 + w * 5) 5 = 6w + (-25 + 5w) Reorder the terms: 5 = -25 + 6w + 5w Combine like terms: 6w + 5w = 11w 5 = -25 + 11w Solving 5 = -25 + 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. 5 + -11w = -25 + 11w + -11w Combine like terms: 11w + -11w = 0 5 + -11w = -25 + 0 5 + -11w = -25 Add '-5' to each side of the equation. 5 + -5 + -11w = -25 + -5 Combine like terms: 5 + -5 = 0 0 + -11w = -25 + -5 -11w = -25 + -5 Combine like terms: -25 + -5 = -30 -11w = -30 Divide each side by '-11'. w = 2.727272727 Simplifying w = 2.727272727
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