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Simplifying 4(w + 8) + -8w = -8 Reorder the terms: 4(8 + w) + -8w = -8 (8 * 4 + w * 4) + -8w = -8 (32 + 4w) + -8w = -8 Combine like terms: 4w + -8w = -4w 32 + -4w = -8 Solving 32 + -4w = -8 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 + -4w = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = -8 + -32 -4w = -8 + -32 Combine like terms: -8 + -32 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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