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Simplifying -5(-4u + 1) + -8u = 2(u + -3) + -3 Reorder the terms: -5(1 + -4u) + -8u = 2(u + -3) + -3 (1 * -5 + -4u * -5) + -8u = 2(u + -3) + -3 (-5 + 20u) + -8u = 2(u + -3) + -3 Combine like terms: 20u + -8u = 12u -5 + 12u = 2(u + -3) + -3 Reorder the terms: -5 + 12u = 2(-3 + u) + -3 -5 + 12u = (-3 * 2 + u * 2) + -3 -5 + 12u = (-6 + 2u) + -3 Reorder the terms: -5 + 12u = -6 + -3 + 2u Combine like terms: -6 + -3 = -9 -5 + 12u = -9 + 2u Solving -5 + 12u = -9 + 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. -5 + 12u + -2u = -9 + 2u + -2u Combine like terms: 12u + -2u = 10u -5 + 10u = -9 + 2u + -2u Combine like terms: 2u + -2u = 0 -5 + 10u = -9 + 0 -5 + 10u = -9 Add '5' to each side of the equation. -5 + 5 + 10u = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 10u = -9 + 5 10u = -9 + 5 Combine like terms: -9 + 5 = -4 10u = -4 Divide each side by '10'. u = -0.4 Simplifying u = -0.4
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