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Simplifying 4w + (-8w) + (-20) = 12 4w + (-8w) + -20 = 12 Reorder the terms: -20 + 4w + (-8w) = 12 Combine like terms: 4w + (-8w) = -4w -20 + -4w = 12 Solving -20 + -4w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -4w = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -4w = 12 + 20 -4w = 12 + 20 Combine like terms: 12 + 20 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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