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Simplifying -8[w + -20] = -96 Reorder the terms: -8[-20 + w] = -96 [-20 * -8 + w * -8] = -96 [160 + -8w] = -96 Solving 160 + -8w = -96 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -8w = -96 + -160 Combine like terms: 160 + -160 = 0 0 + -8w = -96 + -160 -8w = -96 + -160 Combine like terms: -96 + -160 = -256 -8w = -256 Divide each side by '-8'. w = 32 Simplifying w = 32
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