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Simplifying 30 = 5w + 6(w + -6) Reorder the terms: 30 = 5w + 6(-6 + w) 30 = 5w + (-6 * 6 + w * 6) 30 = 5w + (-36 + 6w) Reorder the terms: 30 = -36 + 5w + 6w Combine like terms: 5w + 6w = 11w 30 = -36 + 11w Solving 30 = -36 + 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 = -36 + 11w + -11w Combine like terms: 11w + -11w = 0 30 + -11w = -36 + 0 30 + -11w = -36 Add '-30' to each side of the equation. 30 + -30 + -11w = -36 + -30 Combine like terms: 30 + -30 = 0 0 + -11w = -36 + -30 -11w = -36 + -30 Combine like terms: -36 + -30 = -66 -11w = -66 Divide each side by '-11'. w = 6 Simplifying w = 6
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