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Simplifying 3a + -2(4a + -12) = 6a + 2 Reorder the terms: 3a + -2(-12 + 4a) = 6a + 2 3a + (-12 * -2 + 4a * -2) = 6a + 2 3a + (24 + -8a) = 6a + 2 Reorder the terms: 24 + 3a + -8a = 6a + 2 Combine like terms: 3a + -8a = -5a 24 + -5a = 6a + 2 Reorder the terms: 24 + -5a = 2 + 6a Solving 24 + -5a = 2 + 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. 24 + -5a + -6a = 2 + 6a + -6a Combine like terms: -5a + -6a = -11a 24 + -11a = 2 + 6a + -6a Combine like terms: 6a + -6a = 0 24 + -11a = 2 + 0 24 + -11a = 2 Add '-24' to each side of the equation. 24 + -24 + -11a = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -11a = 2 + -24 -11a = 2 + -24 Combine like terms: 2 + -24 = -22 -11a = -22 Divide each side by '-11'. a = 2 Simplifying a = 2
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