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Simplifying -5(w + -5) = 6w + 36 Reorder the terms: -5(-5 + w) = 6w + 36 (-5 * -5 + w * -5) = 6w + 36 (25 + -5w) = 6w + 36 Reorder the terms: 25 + -5w = 36 + 6w Solving 25 + -5w = 36 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 25 + -5w + -6w = 36 + 6w + -6w Combine like terms: -5w + -6w = -11w 25 + -11w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 25 + -11w = 36 + 0 25 + -11w = 36 Add '-25' to each side of the equation. 25 + -25 + -11w = 36 + -25 Combine like terms: 25 + -25 = 0 0 + -11w = 36 + -25 -11w = 36 + -25 Combine like terms: 36 + -25 = 11 -11w = 11 Divide each side by '-11'. w = -1 Simplifying w = -1
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