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Simplifying -4a + 32 + 9a = 3a + -6a Reorder the terms: 32 + -4a + 9a = 3a + -6a Combine like terms: -4a + 9a = 5a 32 + 5a = 3a + -6a Combine like terms: 3a + -6a = -3a 32 + 5a = -3a Solving 32 + 5a = -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. 32 + 5a + 3a = -3a + 3a Combine like terms: 5a + 3a = 8a 32 + 8a = -3a + 3a Combine like terms: -3a + 3a = 0 32 + 8a = 0 Add '-32' to each side of the equation. 32 + -32 + 8a = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8a = 0 + -32 8a = 0 + -32 Combine like terms: 0 + -32 = -32 8a = -32 Divide each side by '8'. a = -4 Simplifying a = -4
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