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Simplifying 9 + 5a = -1(1 + -3a) 9 + 5a = (1 * -1 + -3a * -1) 9 + 5a = (-1 + 3a) Solving 9 + 5a = -1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9 + 5a + -3a = -1 + 3a + -3a Combine like terms: 5a + -3a = 2a 9 + 2a = -1 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + 2a = -1 + 0 9 + 2a = -1 Add '-9' to each side of the equation. 9 + -9 + 2a = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = -1 + -9 2a = -1 + -9 Combine like terms: -1 + -9 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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