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Simplifying -6(u + 1) = 8u + -7 + 2(2u + 8) Reorder the terms: -6(1 + u) = 8u + -7 + 2(2u + 8) (1 * -6 + u * -6) = 8u + -7 + 2(2u + 8) (-6 + -6u) = 8u + -7 + 2(2u + 8) Reorder the terms: -6 + -6u = 8u + -7 + 2(8 + 2u) -6 + -6u = 8u + -7 + (8 * 2 + 2u * 2) -6 + -6u = 8u + -7 + (16 + 4u) Reorder the terms: -6 + -6u = -7 + 16 + 8u + 4u Combine like terms: -7 + 16 = 9 -6 + -6u = 9 + 8u + 4u Combine like terms: 8u + 4u = 12u -6 + -6u = 9 + 12u Solving -6 + -6u = 9 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -6 + -6u + -12u = 9 + 12u + -12u Combine like terms: -6u + -12u = -18u -6 + -18u = 9 + 12u + -12u Combine like terms: 12u + -12u = 0 -6 + -18u = 9 + 0 -6 + -18u = 9 Add '6' to each side of the equation. -6 + 6 + -18u = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -18u = 9 + 6 -18u = 9 + 6 Combine like terms: 9 + 6 = 15 -18u = 15 Divide each side by '-18'. u = -0.8333333333 Simplifying u = -0.8333333333
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