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Simplifying 5a + 1 = 3a + -9 Reorder the terms: 1 + 5a = 3a + -9 Reorder the terms: 1 + 5a = -9 + 3a Solving 1 + 5a = -9 + 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. 1 + 5a + -3a = -9 + 3a + -3a Combine like terms: 5a + -3a = 2a 1 + 2a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 2a = -9 + 0 1 + 2a = -9 Add '-1' to each side of the equation. 1 + -1 + 2a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = -9 + -1 2a = -9 + -1 Combine like terms: -9 + -1 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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