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Simplifying -6w + -27 = 5(w + -1) Reorder the terms: -27 + -6w = 5(w + -1) Reorder the terms: -27 + -6w = 5(-1 + w) -27 + -6w = (-1 * 5 + w * 5) -27 + -6w = (-5 + 5w) Solving -27 + -6w = -5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -27 + -6w + -5w = -5 + 5w + -5w Combine like terms: -6w + -5w = -11w -27 + -11w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -27 + -11w = -5 + 0 -27 + -11w = -5 Add '27' to each side of the equation. -27 + 27 + -11w = -5 + 27 Combine like terms: -27 + 27 = 0 0 + -11w = -5 + 27 -11w = -5 + 27 Combine like terms: -5 + 27 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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