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Simplifying 12 + 5w + -4w = 1 Combine like terms: 5w + -4w = 1w 12 + 1w = 1 Solving 12 + 1w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1w = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 1 + -12 1w = 1 + -12 Combine like terms: 1 + -12 = -11 1w = -11 Divide each side by '1'. w = -11 Simplifying w = -11
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