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Simplifying 27 = 42 + 6w Solving 27 = 42 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 27 + -6w = 42 + 6w + -6w Combine like terms: 6w + -6w = 0 27 + -6w = 42 + 0 27 + -6w = 42 Add '-27' to each side of the equation. 27 + -27 + -6w = 42 + -27 Combine like terms: 27 + -27 = 0 0 + -6w = 42 + -27 -6w = 42 + -27 Combine like terms: 42 + -27 = 15 -6w = 15 Divide each side by '-6'. w = -2.5 Simplifying w = -2.5
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