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Simplifying -1a + 4a + -9 = 8a + 6 Reorder the terms: -9 + -1a + 4a = 8a + 6 Combine like terms: -1a + 4a = 3a -9 + 3a = 8a + 6 Reorder the terms: -9 + 3a = 6 + 8a Solving -9 + 3a = 6 + 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. -9 + 3a + -8a = 6 + 8a + -8a Combine like terms: 3a + -8a = -5a -9 + -5a = 6 + 8a + -8a Combine like terms: 8a + -8a = 0 -9 + -5a = 6 + 0 -9 + -5a = 6 Add '9' to each side of the equation. -9 + 9 + -5a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -5a = 6 + 9 -5a = 6 + 9 Combine like terms: 6 + 9 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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