Is it straight forward?

Algebra Level 5

Given complex numbers \(z_1,z_2\) satisfying:

  • \(|z_1|=5,|z_2|=13\)

  • \(39z_1-15z_2=7(4+7i)\),

If \(z_1z_2=a+bi\) with real numbers \(a,b\), find \(2a+b\)

Notation: \(|z|\) denotes the absolute value of complex number \(z\).

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