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Simplifying -6(-4u + 20) = 15 + 15u Reorder the terms: -6(20 + -4u) = 15 + 15u (20 * -6 + -4u * -6) = 15 + 15u (-120 + 24u) = 15 + 15u Solving -120 + 24u = 15 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -120 + 24u + -15u = 15 + 15u + -15u Combine like terms: 24u + -15u = 9u -120 + 9u = 15 + 15u + -15u Combine like terms: 15u + -15u = 0 -120 + 9u = 15 + 0 -120 + 9u = 15 Add '120' to each side of the equation. -120 + 120 + 9u = 15 + 120 Combine like terms: -120 + 120 = 0 0 + 9u = 15 + 120 9u = 15 + 120 Combine like terms: 15 + 120 = 135 9u = 135 Divide each side by '9'. u = 15 Simplifying u = 15
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