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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 = -58 32u + -12v = -58 + 22v Add '12v' to each side of the equation. 32u + -12v + 12v = -58 + 22v + 12v Combine like terms: -12v + 12v = 0 32u + 0 = -58 + 22v + 12v 32u = -58 + 22v + 12v Combine like terms: 22v + 12v = 34v 32u = -58 + 34v Divide each side by '32'. u = -1.8125 + 1.0625v Simplifying u = -1.8125 + 1.0625v
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