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Simplifying -20 = 4(w + -6) + -8w Reorder the terms: -20 = 4(-6 + w) + -8w -20 = (-6 * 4 + w * 4) + -8w -20 = (-24 + 4w) + -8w Combine like terms: 4w + -8w = -4w -20 = -24 + -4w Solving -20 = -24 + -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. -20 + 4w = -24 + -4w + 4w Combine like terms: -4w + 4w = 0 -20 + 4w = -24 + 0 -20 + 4w = -24 Add '20' to each side of the equation. -20 + 20 + 4w = -24 + 20 Combine like terms: -20 + 20 = 0 0 + 4w = -24 + 20 4w = -24 + 20 Combine like terms: -24 + 20 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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