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Simplifying 3(a + 4) = 2 + a Reorder the terms: 3(4 + a) = 2 + a (4 * 3 + a * 3) = 2 + a (12 + 3a) = 2 + a Solving 12 + 3a = 2 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12 + 3a + -1a = 2 + a + -1a Combine like terms: 3a + -1a = 2a 12 + 2a = 2 + a + -1a Combine like terms: a + -1a = 0 12 + 2a = 2 + 0 12 + 2a = 2 Add '-12' to each side of the equation. 12 + -12 + 2a = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 2 + -12 2a = 2 + -12 Combine like terms: 2 + -12 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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