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Simplifying 2(3a + 12) = 3(4a + 2) Reorder the terms: 2(12 + 3a) = 3(4a + 2) (12 * 2 + 3a * 2) = 3(4a + 2) (24 + 6a) = 3(4a + 2) Reorder the terms: 24 + 6a = 3(2 + 4a) 24 + 6a = (2 * 3 + 4a * 3) 24 + 6a = (6 + 12a) Solving 24 + 6a = 6 + 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. 24 + 6a + -12a = 6 + 12a + -12a Combine like terms: 6a + -12a = -6a 24 + -6a = 6 + 12a + -12a Combine like terms: 12a + -12a = 0 24 + -6a = 6 + 0 24 + -6a = 6 Add '-24' to each side of the equation. 24 + -24 + -6a = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6a = 6 + -24 -6a = 6 + -24 Combine like terms: 6 + -24 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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