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Simplifying 12w + 6 = 4w + -2 Reorder the terms: 6 + 12w = 4w + -2 Reorder the terms: 6 + 12w = -2 + 4w Solving 6 + 12w = -2 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 6 + 12w + -4w = -2 + 4w + -4w Combine like terms: 12w + -4w = 8w 6 + 8w = -2 + 4w + -4w Combine like terms: 4w + -4w = 0 6 + 8w = -2 + 0 6 + 8w = -2 Add '-6' to each side of the equation. 6 + -6 + 8w = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 8w = -2 + -6 8w = -2 + -6 Combine like terms: -2 + -6 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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