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Simplifying -5(-4u + 8) + -4u = 6(u + -8) + -4 Reorder the terms: -5(8 + -4u) + -4u = 6(u + -8) + -4 (8 * -5 + -4u * -5) + -4u = 6(u + -8) + -4 (-40 + 20u) + -4u = 6(u + -8) + -4 Combine like terms: 20u + -4u = 16u -40 + 16u = 6(u + -8) + -4 Reorder the terms: -40 + 16u = 6(-8 + u) + -4 -40 + 16u = (-8 * 6 + u * 6) + -4 -40 + 16u = (-48 + 6u) + -4 Reorder the terms: -40 + 16u = -48 + -4 + 6u Combine like terms: -48 + -4 = -52 -40 + 16u = -52 + 6u Solving -40 + 16u = -52 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -40 + 16u + -6u = -52 + 6u + -6u Combine like terms: 16u + -6u = 10u -40 + 10u = -52 + 6u + -6u Combine like terms: 6u + -6u = 0 -40 + 10u = -52 + 0 -40 + 10u = -52 Add '40' to each side of the equation. -40 + 40 + 10u = -52 + 40 Combine like terms: -40 + 40 = 0 0 + 10u = -52 + 40 10u = -52 + 40 Combine like terms: -52 + 40 = -12 10u = -12 Divide each side by '10'. u = -1.2 Simplifying u = -1.2
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