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Simplifying 3(8 + 2a) = 12 + -2a (8 * 3 + 2a * 3) = 12 + -2a (24 + 6a) = 12 + -2a Solving 24 + 6a = 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. 24 + 6a + 2a = 12 + -2a + 2a Combine like terms: 6a + 2a = 8a 24 + 8a = 12 + -2a + 2a Combine like terms: -2a + 2a = 0 24 + 8a = 12 + 0 24 + 8a = 12 Add '-24' to each side of the equation. 24 + -24 + 8a = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 8a = 12 + -24 8a = 12 + -24 Combine like terms: 12 + -24 = -12 8a = -12 Divide each side by '8'. a = -1.5 Simplifying a = -1.5
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