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Simplifying 12w + -4 + -2w = 1 + 5w Reorder the terms: -4 + 12w + -2w = 1 + 5w Combine like terms: 12w + -2w = 10w -4 + 10w = 1 + 5w Solving -4 + 10w = 1 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -4 + 10w + -5w = 1 + 5w + -5w Combine like terms: 10w + -5w = 5w -4 + 5w = 1 + 5w + -5w Combine like terms: 5w + -5w = 0 -4 + 5w = 1 + 0 -4 + 5w = 1 Add '4' to each side of the equation. -4 + 4 + 5w = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 5w = 1 + 4 5w = 1 + 4 Combine like terms: 1 + 4 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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