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Simplifying 0 = -1 + 5a + -9(-2 + 5a) 0 = -1 + 5a + (-2 * -9 + 5a * -9) 0 = -1 + 5a + (18 + -45a) Reorder the terms: 0 = -1 + 18 + 5a + -45a Combine like terms: -1 + 18 = 17 0 = 17 + 5a + -45a Combine like terms: 5a + -45a = -40a 0 = 17 + -40a Solving 0 = 17 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 0 + 40a = 17 + -40a + 40a Remove the zero: 40a = 17 + -40a + 40a Combine like terms: -40a + 40a = 0 40a = 17 + 0 40a = 17 Divide each side by '40'. a = 0.425 Simplifying a = 0.425
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