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Simplifying -3(-8u + 9) + -6u = 2(u + -7) + -1 Reorder the terms: -3(9 + -8u) + -6u = 2(u + -7) + -1 (9 * -3 + -8u * -3) + -6u = 2(u + -7) + -1 (-27 + 24u) + -6u = 2(u + -7) + -1 Combine like terms: 24u + -6u = 18u -27 + 18u = 2(u + -7) + -1 Reorder the terms: -27 + 18u = 2(-7 + u) + -1 -27 + 18u = (-7 * 2 + u * 2) + -1 -27 + 18u = (-14 + 2u) + -1 Reorder the terms: -27 + 18u = -14 + -1 + 2u Combine like terms: -14 + -1 = -15 -27 + 18u = -15 + 2u Solving -27 + 18u = -15 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -27 + 18u + -2u = -15 + 2u + -2u Combine like terms: 18u + -2u = 16u -27 + 16u = -15 + 2u + -2u Combine like terms: 2u + -2u = 0 -27 + 16u = -15 + 0 -27 + 16u = -15 Add '27' to each side of the equation. -27 + 27 + 16u = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 16u = -15 + 27 16u = -15 + 27 Combine like terms: -15 + 27 = 12 16u = 12 Divide each side by '16'. u = 0.75 Simplifying u = 0.75
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