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Simplifying -4a + 32 + 6a = 2a + -8a Reorder the terms: 32 + -4a + 6a = 2a + -8a Combine like terms: -4a + 6a = 2a 32 + 2a = 2a + -8a Combine like terms: 2a + -8a = -6a 32 + 2a = -6a Solving 32 + 2a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 32 + 2a + 6a = -6a + 6a Combine like terms: 2a + 6a = 8a 32 + 8a = -6a + 6a Combine like terms: -6a + 6a = 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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