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Simplifying -5w + -9 = 6(w + 4) Reorder the terms: -9 + -5w = 6(w + 4) Reorder the terms: -9 + -5w = 6(4 + w) -9 + -5w = (4 * 6 + w * 6) -9 + -5w = (24 + 6w) Solving -9 + -5w = 24 + 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. -9 + -5w + -6w = 24 + 6w + -6w Combine like terms: -5w + -6w = -11w -9 + -11w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 -9 + -11w = 24 + 0 -9 + -11w = 24 Add '9' to each side of the equation. -9 + 9 + -11w = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11w = 24 + 9 -11w = 24 + 9 Combine like terms: 24 + 9 = 33 -11w = 33 Divide each side by '-11'. w = -3 Simplifying w = -3
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