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Simplifying 2(4a + 2) = 12a Reorder the terms: 2(2 + 4a) = 12a (2 * 2 + 4a * 2) = 12a (4 + 8a) = 12a Solving 4 + 8a = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 4 + 8a + -12a = 12a + -12a Combine like terms: 8a + -12a = -4a 4 + -4a = 12a + -12a Combine like terms: 12a + -12a = 0 4 + -4a = 0 Add '-4' to each side of the equation. 4 + -4 + -4a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 0 + -4 -4a = 0 + -4 Combine like terms: 0 + -4 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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