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Simplifying -24 = -8(w + 9) Reorder the terms: -24 = -8(9 + w) -24 = (9 * -8 + w * -8) -24 = (-72 + -8w) Solving -24 = -72 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -24 + 8w = -72 + -8w + 8w Combine like terms: -8w + 8w = 0 -24 + 8w = -72 + 0 -24 + 8w = -72 Add '24' to each side of the equation. -24 + 24 + 8w = -72 + 24 Combine like terms: -24 + 24 = 0 0 + 8w = -72 + 24 8w = -72 + 24 Combine like terms: -72 + 24 = -48 8w = -48 Divide each side by '8'. w = -6 Simplifying w = -6
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