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Simplifying -4(-5u + 8) + -5u = 5(u + -7) + -5 Reorder the terms: -4(8 + -5u) + -5u = 5(u + -7) + -5 (8 * -4 + -5u * -4) + -5u = 5(u + -7) + -5 (-32 + 20u) + -5u = 5(u + -7) + -5 Combine like terms: 20u + -5u = 15u -32 + 15u = 5(u + -7) + -5 Reorder the terms: -32 + 15u = 5(-7 + u) + -5 -32 + 15u = (-7 * 5 + u * 5) + -5 -32 + 15u = (-35 + 5u) + -5 Reorder the terms: -32 + 15u = -35 + -5 + 5u Combine like terms: -35 + -5 = -40 -32 + 15u = -40 + 5u Solving -32 + 15u = -40 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -32 + 15u + -5u = -40 + 5u + -5u Combine like terms: 15u + -5u = 10u -32 + 10u = -40 + 5u + -5u Combine like terms: 5u + -5u = 0 -32 + 10u = -40 + 0 -32 + 10u = -40 Add '32' to each side of the equation. -32 + 32 + 10u = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 10u = -40 + 32 10u = -40 + 32 Combine like terms: -40 + 32 = -8 10u = -8 Divide each side by '10'. u = -0.8 Simplifying u = -0.8
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