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Simplifying 9u + 2u + 6 = 15(9u + -3) Reorder the terms: 6 + 9u + 2u = 15(9u + -3) Combine like terms: 9u + 2u = 11u 6 + 11u = 15(9u + -3) Reorder the terms: 6 + 11u = 15(-3 + 9u) 6 + 11u = (-3 * 15 + 9u * 15) 6 + 11u = (-45 + 135u) Solving 6 + 11u = -45 + 135u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-135u' to each side of the equation. 6 + 11u + -135u = -45 + 135u + -135u Combine like terms: 11u + -135u = -124u 6 + -124u = -45 + 135u + -135u Combine like terms: 135u + -135u = 0 6 + -124u = -45 + 0 6 + -124u = -45 Add '-6' to each side of the equation. 6 + -6 + -124u = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -124u = -45 + -6 -124u = -45 + -6 Combine like terms: -45 + -6 = -51 -124u = -51 Divide each side by '-124'. u = 0.4112903226 Simplifying u = 0.4112903226
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