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Simplifying 3a + -8 = 2(6 + -1a) Reorder the terms: -8 + 3a = 2(6 + -1a) -8 + 3a = (6 * 2 + -1a * 2) -8 + 3a = (12 + -2a) Solving -8 + 3a = 12 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -8 + 3a + 2a = 12 + -2a + 2a Combine like terms: 3a + 2a = 5a -8 + 5a = 12 + -2a + 2a Combine like terms: -2a + 2a = 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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