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Simplifying a + 1 + 3a = -1a + -9 Reorder the terms: 1 + a + 3a = -1a + -9 Combine like terms: a + 3a = 4a 1 + 4a = -1a + -9 Reorder the terms: 1 + 4a = -9 + -1a Solving 1 + 4a = -9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 1 + 4a + a = -9 + -1a + a Combine like terms: 4a + a = 5a 1 + 5a = -9 + -1a + a Combine like terms: -1a + a = 0 1 + 5a = -9 + 0 1 + 5a = -9 Add '-1' to each side of the equation. 1 + -1 + 5a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = -9 + -1 5a = -9 + -1 Combine like terms: -9 + -1 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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