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Simplifying 97 = w + -47 Reorder the terms: 97 = -47 + w Solving 97 = -47 + 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. 97 + -1w = -47 + w + -1w Combine like terms: w + -1w = 0 97 + -1w = -47 + 0 97 + -1w = -47 Add '-97' to each side of the equation. 97 + -97 + -1w = -47 + -97 Combine like terms: 97 + -97 = 0 0 + -1w = -47 + -97 -1w = -47 + -97 Combine like terms: -47 + -97 = -144 -1w = -144 Divide each side by '-1'. w = 144 Simplifying w = 144
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