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Simplifying 42 + -27 = w Combine like terms: 42 + -27 = 15 15 = w Solving 15 = 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. 15 + -1w = w + -1w Combine like terms: w + -1w = 0 15 + -1w = 0 Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15
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