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Simplifying 8(4w + 4) = -9 Reorder the terms: 8(4 + 4w) = -9 (4 * 8 + 4w * 8) = -9 (32 + 32w) = -9 Solving 32 + 32w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 32w = -9 + -32 Combine like terms: 32 + -32 = 0 0 + 32w = -9 + -32 32w = -9 + -32 Combine like terms: -9 + -32 = -41 32w = -41 Divide each side by '32'. w = -1.28125 Simplifying w = -1.28125
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