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Simplifying a + 4a = 2a + 1 + -5a Combine like terms: a + 4a = 5a 5a = 2a + 1 + -5a Reorder the terms: 5a = 1 + 2a + -5a Combine like terms: 2a + -5a = -3a 5a = 1 + -3a Solving 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. 5a + 3a = 1 + -3a + 3a Combine like terms: 5a + 3a = 8a 8a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 8a = 1 + 0 8a = 1 Divide each side by '8'. a = 0.125 Simplifying a = 0.125
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