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Simplifying 9a + 3b + -5(5a + -6b) = 0 9a + 3b + (5a * -5 + -6b * -5) = 0 9a + 3b + (-25a + 30b) = 0 Reorder the terms: 9a + -25a + 3b + 30b = 0 Combine like terms: 9a + -25a = -16a -16a + 3b + 30b = 0 Combine like terms: 3b + 30b = 33b -16a + 33b = 0 Solving -16a + 33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33b' to each side of the equation. -16a + 33b + -33b = 0 + -33b Combine like terms: 33b + -33b = 0 -16a + 0 = 0 + -33b -16a = 0 + -33b Remove the zero: -16a = -33b Divide each side by '-16'. a = 2.0625b Simplifying a = 2.0625b
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