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Simplifying 2a + -8 = 12 + -3a Reorder the terms: -8 + 2a = 12 + -3a Solving -8 + 2a = 12 + -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. -8 + 2a + 3a = 12 + -3a + 3a Combine like terms: 2a + 3a = 5a -8 + 5a = 12 + -3a + 3a Combine like terms: -3a + 3a = 0 -8 + 5a = 12 + 0 -8 + 5a = 12 Add '8' to each side of the equation. -8 + 8 + 5a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 5a = 12 + 8 5a = 12 + 8 Combine like terms: 12 + 8 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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