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Simplifying 5a + 5b + -9(2a + -4b) = 0 5a + 5b + (2a * -9 + -4b * -9) = 0 5a + 5b + (-18a + 36b) = 0 Reorder the terms: 5a + -18a + 5b + 36b = 0 Combine like terms: 5a + -18a = -13a -13a + 5b + 36b = 0 Combine like terms: 5b + 36b = 41b -13a + 41b = 0 Solving -13a + 41b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41b' to each side of the equation. -13a + 41b + -41b = 0 + -41b Combine like terms: 41b + -41b = 0 -13a + 0 = 0 + -41b -13a = 0 + -41b Remove the zero: -13a = -41b Divide each side by '-13'. a = 3.153846154b Simplifying a = 3.153846154b
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