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Simplifying 2(w + -6) = -8w + -32 Reorder the terms: 2(-6 + w) = -8w + -32 (-6 * 2 + w * 2) = -8w + -32 (-12 + 2w) = -8w + -32 Reorder the terms: -12 + 2w = -32 + -8w Solving -12 + 2w = -32 + -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. -12 + 2w + 8w = -32 + -8w + 8w Combine like terms: 2w + 8w = 10w -12 + 10w = -32 + -8w + 8w Combine like terms: -8w + 8w = 0 -12 + 10w = -32 + 0 -12 + 10w = -32 Add '12' to each side of the equation. -12 + 12 + 10w = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 10w = -32 + 12 10w = -32 + 12 Combine like terms: -32 + 12 = -20 10w = -20 Divide each side by '10'. w = -2 Simplifying w = -2
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