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Simplifying -5a + 4 + 6a = 8a + -23 Reorder the terms: 4 + -5a + 6a = 8a + -23 Combine like terms: -5a + 6a = 1a 4 + 1a = 8a + -23 Reorder the terms: 4 + 1a = -23 + 8a Solving 4 + 1a = -23 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 4 + 1a + -8a = -23 + 8a + -8a Combine like terms: 1a + -8a = -7a 4 + -7a = -23 + 8a + -8a Combine like terms: 8a + -8a = 0 4 + -7a = -23 + 0 4 + -7a = -23 Add '-4' to each side of the equation. 4 + -4 + -7a = -23 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = -23 + -4 -7a = -23 + -4 Combine like terms: -23 + -4 = -27 -7a = -27 Divide each side by '-7'. a = 3.857142857 Simplifying a = 3.857142857
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