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Simplifying 4w + -12 = -2w Reorder the terms: -12 + 4w = -2w Solving -12 + 4w = -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. -12 + 4w + 2w = -2w + 2w Combine like terms: 4w + 2w = 6w -12 + 6w = -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 6w = 0 Add '12' to each side of the equation. -12 + 12 + 6w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = 0 + 12 6w = 0 + 12 Combine like terms: 0 + 12 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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