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Simplifying 8(4u + -1) + -12u = 1(2u + -6) Reorder the terms: 8(-1 + 4u) + -12u = 1(2u + -6) (-1 * 8 + 4u * 8) + -12u = 1(2u + -6) (-8 + 32u) + -12u = 1(2u + -6) Combine like terms: 32u + -12u = 20u -8 + 20u = 1(2u + -6) Reorder the terms: -8 + 20u = 1(-6 + 2u) -8 + 20u = (-6 * 1 + 2u * 1) -8 + 20u = (-6 + 2u) Solving -8 + 20u = -6 + 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. -8 + 20u + -2u = -6 + 2u + -2u Combine like terms: 20u + -2u = 18u -8 + 18u = -6 + 2u + -2u Combine like terms: 2u + -2u = 0 -8 + 18u = -6 + 0 -8 + 18u = -6 Add '8' to each side of the equation. -8 + 8 + 18u = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 18u = -6 + 8 18u = -6 + 8 Combine like terms: -6 + 8 = 2 18u = 2 Divide each side by '18'. u = 0.1111111111 Simplifying u = 0.1111111111
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