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