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Simplifying 9a + 2b + -5(7a + -3b) = 0 9a + 2b + (7a * -5 + -3b * -5) = 0 9a + 2b + (-35a + 15b) = 0 Reorder the terms: 9a + -35a + 2b + 15b = 0 Combine like terms: 9a + -35a = -26a -26a + 2b + 15b = 0 Combine like terms: 2b + 15b = 17b -26a + 17b = 0 Solving -26a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. -26a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 -26a + 0 = 0 + -17b -26a = 0 + -17b Remove the zero: -26a = -17b Divide each side by '-26'. a = 0.6538461538b Simplifying a = 0.6538461538b
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