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Simplifying -6(u + 1) = 4u + -8 + 4(2u + 1) Reorder the terms: -6(1 + u) = 4u + -8 + 4(2u + 1) (1 * -6 + u * -6) = 4u + -8 + 4(2u + 1) (-6 + -6u) = 4u + -8 + 4(2u + 1) Reorder the terms: -6 + -6u = 4u + -8 + 4(1 + 2u) -6 + -6u = 4u + -8 + (1 * 4 + 2u * 4) -6 + -6u = 4u + -8 + (4 + 8u) Reorder the terms: -6 + -6u = -8 + 4 + 4u + 8u Combine like terms: -8 + 4 = -4 -6 + -6u = -4 + 4u + 8u Combine like terms: 4u + 8u = 12u -6 + -6u = -4 + 12u Solving -6 + -6u = -4 + 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 = -4 + 12u + -12u Combine like terms: -6u + -12u = -18u -6 + -18u = -4 + 12u + -12u Combine like terms: 12u + -12u = 0 -6 + -18u = -4 + 0 -6 + -18u = -4 Add '6' to each side of the equation. -6 + 6 + -18u = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -18u = -4 + 6 -18u = -4 + 6 Combine like terms: -4 + 6 = 2 -18u = 2 Divide each side by '-18'. u = -0.1111111111 Simplifying u = -0.1111111111
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