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Simplifying 5a + 4b + -5(7a + -9b) = 0 5a + 4b + (7a * -5 + -9b * -5) = 0 5a + 4b + (-35a + 45b) = 0 Reorder the terms: 5a + -35a + 4b + 45b = 0 Combine like terms: 5a + -35a = -30a -30a + 4b + 45b = 0 Combine like terms: 4b + 45b = 49b -30a + 49b = 0 Solving -30a + 49b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49b' to each side of the equation. -30a + 49b + -49b = 0 + -49b Combine like terms: 49b + -49b = 0 -30a + 0 = 0 + -49b -30a = 0 + -49b Remove the zero: -30a = -49b Divide each side by '-30'. a = 1.633333333b Simplifying a = 1.633333333b
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