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Simplifying 7a + 2b + -6(4a + -7b) = 0 7a + 2b + (4a * -6 + -7b * -6) = 0 7a + 2b + (-24a + 42b) = 0 Reorder the terms: 7a + -24a + 2b + 42b = 0 Combine like terms: 7a + -24a = -17a -17a + 2b + 42b = 0 Combine like terms: 2b + 42b = 44b -17a + 44b = 0 Solving -17a + 44b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-44b' to each side of the equation. -17a + 44b + -44b = 0 + -44b Combine like terms: 44b + -44b = 0 -17a + 0 = 0 + -44b -17a = 0 + -44b Remove the zero: -17a = -44b Divide each side by '-17'. a = 2.588235294b Simplifying a = 2.588235294b
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