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Simplifying 6(5w + 4) = -11 + -5w Reorder the terms: 6(4 + 5w) = -11 + -5w (4 * 6 + 5w * 6) = -11 + -5w (24 + 30w) = -11 + -5w Solving 24 + 30w = -11 + -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. 24 + 30w + 5w = -11 + -5w + 5w Combine like terms: 30w + 5w = 35w 24 + 35w = -11 + -5w + 5w Combine like terms: -5w + 5w = 0 24 + 35w = -11 + 0 24 + 35w = -11 Add '-24' to each side of the equation. 24 + -24 + 35w = -11 + -24 Combine like terms: 24 + -24 = 0 0 + 35w = -11 + -24 35w = -11 + -24 Combine like terms: -11 + -24 = -35 35w = -35 Divide each side by '35'. w = -1 Simplifying w = -1
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