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Simplifying 253 = -1w + 197 Reorder the terms: 253 = 197 + -1w Solving 253 = 197 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 253 + w = 197 + -1w + w Combine like terms: -1w + w = 0 253 + w = 197 + 0 253 + w = 197 Add '-253' to each side of the equation. 253 + -253 + w = 197 + -253 Combine like terms: 253 + -253 = 0 0 + w = 197 + -253 w = 197 + -253 Combine like terms: 197 + -253 = -56 w = -56 Simplifying w = -56
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