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Simplifying 127 = w + 31 Reorder the terms: 127 = 31 + w Solving 127 = 31 + 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. 127 + -1w = 31 + w + -1w Combine like terms: w + -1w = 0 127 + -1w = 31 + 0 127 + -1w = 31 Add '-127' to each side of the equation. 127 + -127 + -1w = 31 + -127 Combine like terms: 127 + -127 = 0 0 + -1w = 31 + -127 -1w = 31 + -127 Combine like terms: 31 + -127 = -96 -1w = -96 Divide each side by '-1'. w = 96 Simplifying w = 96
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