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