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Simplifying -8 = 8(w + -4) + -4w Reorder the terms: -8 = 8(-4 + w) + -4w -8 = (-4 * 8 + w * 8) + -4w -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 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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