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Simplifying 4w + 12 = -8w Reorder the terms: 12 + 4w = -8w Solving 12 + 4w = -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 + 4w + 8w = -8w + 8w Combine like terms: 4w + 8w = 12w 12 + 12w = -8w + 8w Combine like terms: -8w + 8w = 0 12 + 12w = 0 Add '-12' to each side of the equation. 12 + -12 + 12w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = 0 + -12 12w = 0 + -12 Combine like terms: 0 + -12 = -12 12w = -12 Divide each side by '12'. w = -1 Simplifying w = -1
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