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