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Simplifying 11.5 + -12.7w = -17 + -15.7 Combine like terms: -17 + -15.7 = -32.7 11.5 + -12.7w = -32.7 Solving 11.5 + -12.7w = -32.7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11.5' to each side of the equation. 11.5 + -11.5 + -12.7w = -32.7 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -12.7w = -32.7 + -11.5 -12.7w = -32.7 + -11.5 Combine like terms: -32.7 + -11.5 = -44.2 -12.7w = -44.2 Divide each side by '-12.7'. w = 3.480314961 Simplifying w = 3.480314961
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