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Simplifying 3(u + -7) + -5 = -2(-9u + 8) + -9u Reorder the terms: 3(-7 + u) + -5 = -2(-9u + 8) + -9u (-7 * 3 + u * 3) + -5 = -2(-9u + 8) + -9u (-21 + 3u) + -5 = -2(-9u + 8) + -9u Reorder the terms: -21 + -5 + 3u = -2(-9u + 8) + -9u Combine like terms: -21 + -5 = -26 -26 + 3u = -2(-9u + 8) + -9u Reorder the terms: -26 + 3u = -2(8 + -9u) + -9u -26 + 3u = (8 * -2 + -9u * -2) + -9u -26 + 3u = (-16 + 18u) + -9u Combine like terms: 18u + -9u = 9u -26 + 3u = -16 + 9u Solving -26 + 3u = -16 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -26 + 3u + -9u = -16 + 9u + -9u Combine like terms: 3u + -9u = -6u -26 + -6u = -16 + 9u + -9u Combine like terms: 9u + -9u = 0 -26 + -6u = -16 + 0 -26 + -6u = -16 Add '26' to each side of the equation. -26 + 26 + -6u = -16 + 26 Combine like terms: -26 + 26 = 0 0 + -6u = -16 + 26 -6u = -16 + 26 Combine like terms: -16 + 26 = 10 -6u = 10 Divide each side by '-6'. u = -1.666666667 Simplifying u = -1.666666667
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