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Simplifying 214 + -27w + -11 = 15w + -49 Reorder the terms: 214 + -11 + -27w = 15w + -49 Combine like terms: 214 + -11 = 203 203 + -27w = 15w + -49 Reorder the terms: 203 + -27w = -49 + 15w Solving 203 + -27w = -49 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 203 + -27w + -15w = -49 + 15w + -15w Combine like terms: -27w + -15w = -42w 203 + -42w = -49 + 15w + -15w Combine like terms: 15w + -15w = 0 203 + -42w = -49 + 0 203 + -42w = -49 Add '-203' to each side of the equation. 203 + -203 + -42w = -49 + -203 Combine like terms: 203 + -203 = 0 0 + -42w = -49 + -203 -42w = -49 + -203 Combine like terms: -49 + -203 = -252 -42w = -252 Divide each side by '-42'. w = 6 Simplifying w = 6
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