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Simplifying -9(-1a + 2) + -1(5a + -22) = 0 Reorder the terms: -9(2 + -1a) + -1(5a + -22) = 0 (2 * -9 + -1a * -9) + -1(5a + -22) = 0 (-18 + 9a) + -1(5a + -22) = 0 Reorder the terms: -18 + 9a + -1(-22 + 5a) = 0 -18 + 9a + (-22 * -1 + 5a * -1) = 0 -18 + 9a + (22 + -5a) = 0 Reorder the terms: -18 + 22 + 9a + -5a = 0 Combine like terms: -18 + 22 = 4 4 + 9a + -5a = 0 Combine like terms: 9a + -5a = 4a 4 + 4a = 0 Solving 4 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4a = 0 + -4 4a = 0 + -4 Combine like terms: 0 + -4 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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