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Simplifying 4(w + 6) + -8w = 32 Reorder the terms: 4(6 + w) + -8w = 32 (6 * 4 + w * 4) + -8w = 32 (24 + 4w) + -8w = 32 Combine like terms: 4w + -8w = -4w 24 + -4w = 32 Solving 24 + -4w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -4w = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = 32 + -24 -4w = 32 + -24 Combine like terms: 32 + -24 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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