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Simplifying 5w + 6(w + -5) = -8 Reorder the terms: 5w + 6(-5 + w) = -8 5w + (-5 * 6 + w * 6) = -8 5w + (-30 + 6w) = -8 Reorder the terms: -30 + 5w + 6w = -8 Combine like terms: 5w + 6w = 11w -30 + 11w = -8 Solving -30 + 11w = -8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11w = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 11w = -8 + 30 11w = -8 + 30 Combine like terms: -8 + 30 = 22 11w = 22 Divide each side by '11'. w = 2 Simplifying w = 2
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