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Simplifying 8a + -2(a + -4) = 4a + 12 Reorder the terms: 8a + -2(-4 + a) = 4a + 12 8a + (-4 * -2 + a * -2) = 4a + 12 8a + (8 + -2a) = 4a + 12 Reorder the terms: 8 + 8a + -2a = 4a + 12 Combine like terms: 8a + -2a = 6a 8 + 6a = 4a + 12 Reorder the terms: 8 + 6a = 12 + 4a Solving 8 + 6a = 12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 8 + 6a + -4a = 12 + 4a + -4a Combine like terms: 6a + -4a = 2a 8 + 2a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + 2a = 12 + 0 8 + 2a = 12 Add '-8' to each side of the equation. 8 + -8 + 2a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 12 + -8 2a = 12 + -8 Combine like terms: 12 + -8 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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