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Simplifying 3w + -12 = 23 + w Reorder the terms: -12 + 3w = 23 + w Solving -12 + 3w = 23 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + 3w + -1w = 23 + w + -1w Combine like terms: 3w + -1w = 2w -12 + 2w = 23 + w + -1w Combine like terms: w + -1w = 0 -12 + 2w = 23 + 0 -12 + 2w = 23 Add '12' to each side of the equation. -12 + 12 + 2w = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = 23 + 12 2w = 23 + 12 Combine like terms: 23 + 12 = 35 2w = 35 Divide each side by '2'. w = 17.5 Simplifying w = 17.5
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