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Simplifying 4(w + -8) = 8w + -12 Reorder the terms: 4(-8 + w) = 8w + -12 (-8 * 4 + w * 4) = 8w + -12 (-32 + 4w) = 8w + -12 Reorder the terms: -32 + 4w = -12 + 8w Solving -32 + 4w = -12 + 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. -32 + 4w + -8w = -12 + 8w + -8w Combine like terms: 4w + -8w = -4w -32 + -4w = -12 + 8w + -8w Combine like terms: 8w + -8w = 0 -32 + -4w = -12 + 0 -32 + -4w = -12 Add '32' to each side of the equation. -32 + 32 + -4w = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -4w = -12 + 32 -4w = -12 + 32 Combine like terms: -12 + 32 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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