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Simplifying 27 + -5w = 7 + 3w Solving 27 + -5w = 7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 27 + -5w + -3w = 7 + 3w + -3w Combine like terms: -5w + -3w = -8w 27 + -8w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 27 + -8w = 7 + 0 27 + -8w = 7 Add '-27' to each side of the equation. 27 + -27 + -8w = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -8w = 7 + -27 -8w = 7 + -27 Combine like terms: 7 + -27 = -20 -8w = -20 Divide each side by '-8'. w = 2.5 Simplifying w = 2.5
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