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Simplifying -30 = 6w + 5(w + 5) Reorder the terms: -30 = 6w + 5(5 + w) -30 = 6w + (5 * 5 + w * 5) -30 = 6w + (25 + 5w) Reorder the terms: -30 = 25 + 6w + 5w Combine like terms: 6w + 5w = 11w -30 = 25 + 11w Solving -30 = 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. -30 + -11w = 25 + 11w + -11w Combine like terms: 11w + -11w = 0 -30 + -11w = 25 + 0 -30 + -11w = 25 Add '30' to each side of the equation. -30 + 30 + -11w = 25 + 30 Combine like terms: -30 + 30 = 0 0 + -11w = 25 + 30 -11w = 25 + 30 Combine like terms: 25 + 30 = 55 -11w = 55 Divide each side by '-11'. w = -5 Simplifying w = -5
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