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Simplifying 5(u + -8) + -4 = -6(-2u + 9) + -3u Reorder the terms: 5(-8 + u) + -4 = -6(-2u + 9) + -3u (-8 * 5 + u * 5) + -4 = -6(-2u + 9) + -3u (-40 + 5u) + -4 = -6(-2u + 9) + -3u Reorder the terms: -40 + -4 + 5u = -6(-2u + 9) + -3u Combine like terms: -40 + -4 = -44 -44 + 5u = -6(-2u + 9) + -3u Reorder the terms: -44 + 5u = -6(9 + -2u) + -3u -44 + 5u = (9 * -6 + -2u * -6) + -3u -44 + 5u = (-54 + 12u) + -3u Combine like terms: 12u + -3u = 9u -44 + 5u = -54 + 9u Solving -44 + 5u = -54 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -44 + 5u + -9u = -54 + 9u + -9u Combine like terms: 5u + -9u = -4u -44 + -4u = -54 + 9u + -9u Combine like terms: 9u + -9u = 0 -44 + -4u = -54 + 0 -44 + -4u = -54 Add '44' to each side of the equation. -44 + 44 + -4u = -54 + 44 Combine like terms: -44 + 44 = 0 0 + -4u = -54 + 44 -4u = -54 + 44 Combine like terms: -54 + 44 = -10 -4u = -10 Divide each side by '-4'. u = 2.5 Simplifying u = 2.5
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