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Simplifying 42 = 162 + -1w Solving 42 = 162 + -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. 42 + w = 162 + -1w + w Combine like terms: -1w + w = 0 42 + w = 162 + 0 42 + w = 162 Add '-42' to each side of the equation. 42 + -42 + w = 162 + -42 Combine like terms: 42 + -42 = 0 0 + w = 162 + -42 w = 162 + -42 Combine like terms: 162 + -42 = 120 w = 120 Simplifying w = 120
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