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Simplifying -4a + 8 + 2a = 3a + -9a Reorder the terms: 8 + -4a + 2a = 3a + -9a Combine like terms: -4a + 2a = -2a 8 + -2a = 3a + -9a Combine like terms: 3a + -9a = -6a 8 + -2a = -6a Solving 8 + -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. 8 + -2a + 6a = -6a + 6a Combine like terms: -2a + 6a = 4a 8 + 4a = -6a + 6a Combine like terms: -6a + 6a = 0 8 + 4a = 0 Add '-8' to each side of the equation. 8 + -8 + 4a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = 0 + -8 4a = 0 + -8 Combine like terms: 0 + -8 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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