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Simplifying 12(a + 2) = 8a + -128 Reorder the terms: 12(2 + a) = 8a + -128 (2 * 12 + a * 12) = 8a + -128 (24 + 12a) = 8a + -128 Reorder the terms: 24 + 12a = -128 + 8a Solving 24 + 12a = -128 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 24 + 12a + -8a = -128 + 8a + -8a Combine like terms: 12a + -8a = 4a 24 + 4a = -128 + 8a + -8a Combine like terms: 8a + -8a = 0 24 + 4a = -128 + 0 24 + 4a = -128 Add '-24' to each side of the equation. 24 + -24 + 4a = -128 + -24 Combine like terms: 24 + -24 = 0 0 + 4a = -128 + -24 4a = -128 + -24 Combine like terms: -128 + -24 = -152 4a = -152 Divide each side by '4'. a = -38 Simplifying a = -38
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