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Simplifying 8(4u + -1) + -12u = 11(2v + -6) Reorder the terms: 8(-1 + 4u) + -12u = 11(2v + -6) (-1 * 8 + 4u * 8) + -12u = 11(2v + -6) (-8 + 32u) + -12u = 11(2v + -6) Combine like terms: 32u + -12u = 20u -8 + 20u = 11(2v + -6) Reorder the terms: -8 + 20u = 11(-6 + 2v) -8 + 20u = (-6 * 11 + 2v * 11) -8 + 20u = (-66 + 22v) Solving -8 + 20u = -66 + 22v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20u = -66 + 8 + 22v Combine like terms: -8 + 8 = 0 0 + 20u = -66 + 8 + 22v 20u = -66 + 8 + 22v Combine like terms: -66 + 8 = -58 20u = -58 + 22v Divide each side by '20'. u = -2.9 + 1.1v Simplifying u = -2.9 + 1.1v
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