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Simplifying u = 4(u + -1z) + 7 + 5(2u + -3) u = (u * 4 + -1z * 4) + 7 + 5(2u + -3) u = (4u + -4z) + 7 + 5(2u + -3) Reorder the terms: u = 4u + -4z + 7 + 5(-3 + 2u) u = 4u + -4z + 7 + (-3 * 5 + 2u * 5) u = 4u + -4z + 7 + (-15 + 10u) Reorder the terms: u = 7 + -15 + 4u + 10u + -4z Combine like terms: 7 + -15 = -8 u = -8 + 4u + 10u + -4z Combine like terms: 4u + 10u = 14u u = -8 + 14u + -4z Solving u = -8 + 14u + -4z Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. u + -14u = -8 + 14u + -14u + -4z Combine like terms: u + -14u = -13u -13u = -8 + 14u + -14u + -4z Combine like terms: 14u + -14u = 0 -13u = -8 + 0 + -4z -13u = -8 + -4z Divide each side by '-13'. u = 0.6153846154 + 0.3076923077z Simplifying u = 0.6153846154 + 0.3076923077z
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