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Simplifying 12w + -5 = 11w + 5 + -1w Reorder the terms: -5 + 12w = 11w + 5 + -1w Reorder the terms: -5 + 12w = 5 + 11w + -1w Combine like terms: 11w + -1w = 10w -5 + 12w = 5 + 10w Solving -5 + 12w = 5 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -5 + 12w + -10w = 5 + 10w + -10w Combine like terms: 12w + -10w = 2w -5 + 2w = 5 + 10w + -10w Combine like terms: 10w + -10w = 0 -5 + 2w = 5 + 0 -5 + 2w = 5 Add '5' to each side of the equation. -5 + 5 + 2w = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = 5 + 5 2w = 5 + 5 Combine like terms: 5 + 5 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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