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Simplifying 8(4w + 9) = 21 Reorder the terms: 8(9 + 4w) = 21 (9 * 8 + 4w * 8) = 21 (72 + 32w) = 21 Solving 72 + 32w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 32w = 21 + -72 Combine like terms: 72 + -72 = 0 0 + 32w = 21 + -72 32w = 21 + -72 Combine like terms: 21 + -72 = -51 32w = -51 Divide each side by '32'. w = -1.59375 Simplifying w = -1.59375
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