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Simplifying 8(4u + 1) + -12v = 11(2v + -6) Reorder the terms: 8(1 + 4u) + -12v = 11(2v + -6) (1 * 8 + 4u * 8) + -12v = 11(2v + -6) (8 + 32u) + -12v = 11(2v + -6) Reorder the terms: 8 + 32u + -12v = 11(-6 + 2v) 8 + 32u + -12v = (-6 * 11 + 2v * 11) 8 + 32u + -12v = (-66 + 22v) Solving 8 + 32u + -12v = -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 + 32u + -8 + -12v = -66 + -8 + 22v Reorder the terms: 8 + -8 + 32u + -12v = -66 + -8 + 22v Combine like terms: 8 + -8 = 0 0 + 32u + -12v = -66 + -8 + 22v 32u + -12v = -66 + -8 + 22v Combine like terms: -66 + -8 = -74 32u + -12v = -74 + 22v Add '12v' to each side of the equation. 32u + -12v + 12v = -74 + 22v + 12v Combine like terms: -12v + 12v = 0 32u + 0 = -74 + 22v + 12v 32u = -74 + 22v + 12v Combine like terms: 22v + 12v = 34v 32u = -74 + 34v Divide each side by '32'. u = -2.3125 + 1.0625v Simplifying u = -2.3125 + 1.0625v
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