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Simplifying -4(9a + -1b) + 3(5a + 2b) = 0 (9a * -4 + -1b * -4) + 3(5a + 2b) = 0 (-36a + 4b) + 3(5a + 2b) = 0 -36a + 4b + (5a * 3 + 2b * 3) = 0 -36a + 4b + (15a + 6b) = 0 Reorder the terms: -36a + 15a + 4b + 6b = 0 Combine like terms: -36a + 15a = -21a -21a + 4b + 6b = 0 Combine like terms: 4b + 6b = 10b -21a + 10b = 0 Solving -21a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. -21a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 -21a + 0 = 0 + -10b -21a = 0 + -10b Remove the zero: -21a = -10b Divide each side by '-21'. a = 0.4761904762b Simplifying a = 0.4761904762b
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