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Simplifying 83 = 1 + w + -12 Reorder the terms: 83 = 1 + -12 + w Combine like terms: 1 + -12 = -11 83 = -11 + w Solving 83 = -11 + 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. 83 + -1w = -11 + w + -1w Combine like terms: w + -1w = 0 83 + -1w = -11 + 0 83 + -1w = -11 Add '-83' to each side of the equation. 83 + -83 + -1w = -11 + -83 Combine like terms: 83 + -83 = 0 0 + -1w = -11 + -83 -1w = -11 + -83 Combine like terms: -11 + -83 = -94 -1w = -94 Divide each side by '-1'. w = 94 Simplifying w = 94
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