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Simplifying 7u + 5v + -8(6u + -9v) = 0 7u + 5v + (6u * -8 + -9v * -8) = 0 7u + 5v + (-48u + 72v) = 0 Reorder the terms: 7u + -48u + 5v + 72v = 0 Combine like terms: 7u + -48u = -41u -41u + 5v + 72v = 0 Combine like terms: 5v + 72v = 77v -41u + 77v = 0 Solving -41u + 77v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-77v' to each side of the equation. -41u + 77v + -77v = 0 + -77v Combine like terms: 77v + -77v = 0 -41u + 0 = 0 + -77v -41u = 0 + -77v Remove the zero: -41u = -77v Divide each side by '-41'. u = 1.87804878v Simplifying u = 1.87804878v
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