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Simplifying 213 = w + 57 Reorder the terms: 213 = 57 + w Solving 213 = 57 + 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. 213 + -1w = 57 + w + -1w Combine like terms: w + -1w = 0 213 + -1w = 57 + 0 213 + -1w = 57 Add '-213' to each side of the equation. 213 + -213 + -1w = 57 + -213 Combine like terms: 213 + -213 = 0 0 + -1w = 57 + -213 -1w = 57 + -213 Combine like terms: 57 + -213 = -156 -1w = -156 Divide each side by '-1'. w = 156 Simplifying w = 156
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