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Simplifying -6(w + 4) = -2w + -32 Reorder the terms: -6(4 + w) = -2w + -32 (4 * -6 + w * -6) = -2w + -32 (-24 + -6w) = -2w + -32 Reorder the terms: -24 + -6w = -32 + -2w Solving -24 + -6w = -32 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -24 + -6w + 2w = -32 + -2w + 2w Combine like terms: -6w + 2w = -4w -24 + -4w = -32 + -2w + 2w Combine like terms: -2w + 2w = 0 -24 + -4w = -32 + 0 -24 + -4w = -32 Add '24' to each side of the equation. -24 + 24 + -4w = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -4w = -32 + 24 -4w = -32 + 24 Combine like terms: -32 + 24 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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