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Simplifying 2(4a + -12) = 3a + 1 Reorder the terms: 2(-12 + 4a) = 3a + 1 (-12 * 2 + 4a * 2) = 3a + 1 (-24 + 8a) = 3a + 1 Reorder the terms: -24 + 8a = 1 + 3a Solving -24 + 8a = 1 + 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. -24 + 8a + -3a = 1 + 3a + -3a Combine like terms: 8a + -3a = 5a -24 + 5a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 5a = 1 + 0 -24 + 5a = 1 Add '24' to each side of the equation. -24 + 24 + 5a = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5a = 1 + 24 5a = 1 + 24 Combine like terms: 1 + 24 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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