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Simplifying -4(w + 6) = -8w + -16 Reorder the terms: -4(6 + w) = -8w + -16 (6 * -4 + w * -4) = -8w + -16 (-24 + -4w) = -8w + -16 Reorder the terms: -24 + -4w = -16 + -8w Solving -24 + -4w = -16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -24 + -4w + 8w = -16 + -8w + 8w Combine like terms: -4w + 8w = 4w -24 + 4w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 -24 + 4w = -16 + 0 -24 + 4w = -16 Add '24' to each side of the equation. -24 + 24 + 4w = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 4w = -16 + 24 4w = -16 + 24 Combine like terms: -16 + 24 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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