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