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Simplifying -4(w + 8) = -2w + -24 Reorder the terms: -4(8 + w) = -2w + -24 (8 * -4 + w * -4) = -2w + -24 (-32 + -4w) = -2w + -24 Reorder the terms: -32 + -4w = -24 + -2w Solving -32 + -4w = -24 + -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. -32 + -4w + 2w = -24 + -2w + 2w Combine like terms: -4w + 2w = -2w -32 + -2w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -32 + -2w = -24 + 0 -32 + -2w = -24 Add '32' to each side of the equation. -32 + 32 + -2w = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -2w = -24 + 32 -2w = -24 + 32 Combine like terms: -24 + 32 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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