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Simplifying 8(40 + -1) + -12u = 11(2u + -6) Combine like terms: 40 + -1 = 39 8(39) + -12u = 11(2u + -6) Multiply 8 * 39 312 + -12u = 11(2u + -6) Reorder the terms: 312 + -12u = 11(-6 + 2u) 312 + -12u = (-6 * 11 + 2u * 11) 312 + -12u = (-66 + 22u) Solving 312 + -12u = -66 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. 312 + -12u + -22u = -66 + 22u + -22u Combine like terms: -12u + -22u = -34u 312 + -34u = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 312 + -34u = -66 + 0 312 + -34u = -66 Add '-312' to each side of the equation. 312 + -312 + -34u = -66 + -312 Combine like terms: 312 + -312 = 0 0 + -34u = -66 + -312 -34u = -66 + -312 Combine like terms: -66 + -312 = -378 -34u = -378 Divide each side by '-34'. u = 11.11764706 Simplifying u = 11.11764706
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