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Simplifying 9a + 5b + -7(7a + -6b) = 0 9a + 5b + (7a * -7 + -6b * -7) = 0 9a + 5b + (-49a + 42b) = 0 Reorder the terms: 9a + -49a + 5b + 42b = 0 Combine like terms: 9a + -49a = -40a -40a + 5b + 42b = 0 Combine like terms: 5b + 42b = 47b -40a + 47b = 0 Solving -40a + 47b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47b' to each side of the equation. -40a + 47b + -47b = 0 + -47b Combine like terms: 47b + -47b = 0 -40a + 0 = 0 + -47b -40a = 0 + -47b Remove the zero: -40a = -47b Divide each side by '-40'. a = 1.175b Simplifying a = 1.175b
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