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Simplifying -24 = 6w + 5(w + -7) Reorder the terms: -24 = 6w + 5(-7 + w) -24 = 6w + (-7 * 5 + w * 5) -24 = 6w + (-35 + 5w) Reorder the terms: -24 = -35 + 6w + 5w Combine like terms: 6w + 5w = 11w -24 = -35 + 11w Solving -24 = -35 + 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. -24 + -11w = -35 + 11w + -11w Combine like terms: 11w + -11w = 0 -24 + -11w = -35 + 0 -24 + -11w = -35 Add '24' to each side of the equation. -24 + 24 + -11w = -35 + 24 Combine like terms: -24 + 24 = 0 0 + -11w = -35 + 24 -11w = -35 + 24 Combine like terms: -35 + 24 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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