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Simplifying 17(9u + -15) = 12(9u + -19) Reorder the terms: 17(-15 + 9u) = 12(9u + -19) (-15 * 17 + 9u * 17) = 12(9u + -19) (-255 + 153u) = 12(9u + -19) Reorder the terms: -255 + 153u = 12(-19 + 9u) -255 + 153u = (-19 * 12 + 9u * 12) -255 + 153u = (-228 + 108u) Solving -255 + 153u = -228 + 108u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-108u' to each side of the equation. -255 + 153u + -108u = -228 + 108u + -108u Combine like terms: 153u + -108u = 45u -255 + 45u = -228 + 108u + -108u Combine like terms: 108u + -108u = 0 -255 + 45u = -228 + 0 -255 + 45u = -228 Add '255' to each side of the equation. -255 + 255 + 45u = -228 + 255 Combine like terms: -255 + 255 = 0 0 + 45u = -228 + 255 45u = -228 + 255 Combine like terms: -228 + 255 = 27 45u = 27 Divide each side by '45'. u = 0.6 Simplifying u = 0.6
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