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Simplifying -8(-12u + -15) = -9u + 19 + 4u Reorder the terms: -8(-15 + -12u) = -9u + 19 + 4u (-15 * -8 + -12u * -8) = -9u + 19 + 4u (120 + 96u) = -9u + 19 + 4u Reorder the terms: 120 + 96u = 19 + -9u + 4u Combine like terms: -9u + 4u = -5u 120 + 96u = 19 + -5u Solving 120 + 96u = 19 + -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. 120 + 96u + 5u = 19 + -5u + 5u Combine like terms: 96u + 5u = 101u 120 + 101u = 19 + -5u + 5u Combine like terms: -5u + 5u = 0 120 + 101u = 19 + 0 120 + 101u = 19 Add '-120' to each side of the equation. 120 + -120 + 101u = 19 + -120 Combine like terms: 120 + -120 = 0 0 + 101u = 19 + -120 101u = 19 + -120 Combine like terms: 19 + -120 = -101 101u = -101 Divide each side by '101'. u = -1 Simplifying u = -1
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