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Simplifying 2w + -75 = w + -23 Reorder the terms: -75 + 2w = w + -23 Reorder the terms: -75 + 2w = -23 + w Solving -75 + 2w = -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. -75 + 2w + -1w = -23 + w + -1w Combine like terms: 2w + -1w = 1w -75 + 1w = -23 + w + -1w Combine like terms: w + -1w = 0 -75 + 1w = -23 + 0 -75 + 1w = -23 Add '75' to each side of the equation. -75 + 75 + 1w = -23 + 75 Combine like terms: -75 + 75 = 0 0 + 1w = -23 + 75 1w = -23 + 75 Combine like terms: -23 + 75 = 52 1w = 52 Divide each side by '1'. w = 52 Simplifying w = 52
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