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Simplifying 8 = 8w + -4(w + 8) Reorder the terms: 8 = 8w + -4(8 + w) 8 = 8w + (8 * -4 + w * -4) 8 = 8w + (-32 + -4w) Reorder the terms: 8 = -32 + 8w + -4w Combine like terms: 8w + -4w = 4w 8 = -32 + 4w Solving 8 = -32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 8 + -4w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -4w = -32 + 0 8 + -4w = -32 Add '-8' to each side of the equation. 8 + -8 + -4w = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = -32 + -8 -4w = -32 + -8 Combine like terms: -32 + -8 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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