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Simplifying 5(u + -8) + -4 = -6(-5u + 6) + -7u Reorder the terms: 5(-8 + u) + -4 = -6(-5u + 6) + -7u (-8 * 5 + u * 5) + -4 = -6(-5u + 6) + -7u (-40 + 5u) + -4 = -6(-5u + 6) + -7u Reorder the terms: -40 + -4 + 5u = -6(-5u + 6) + -7u Combine like terms: -40 + -4 = -44 -44 + 5u = -6(-5u + 6) + -7u Reorder the terms: -44 + 5u = -6(6 + -5u) + -7u -44 + 5u = (6 * -6 + -5u * -6) + -7u -44 + 5u = (-36 + 30u) + -7u Combine like terms: 30u + -7u = 23u -44 + 5u = -36 + 23u Solving -44 + 5u = -36 + 23u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23u' to each side of the equation. -44 + 5u + -23u = -36 + 23u + -23u Combine like terms: 5u + -23u = -18u -44 + -18u = -36 + 23u + -23u Combine like terms: 23u + -23u = 0 -44 + -18u = -36 + 0 -44 + -18u = -36 Add '44' to each side of the equation. -44 + 44 + -18u = -36 + 44 Combine like terms: -44 + 44 = 0 0 + -18u = -36 + 44 -18u = -36 + 44 Combine like terms: -36 + 44 = 8 -18u = 8 Divide each side by '-18'. u = -0.4444444444 Simplifying u = -0.4444444444
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