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Simplifying 3(a + 4) + 8 = 2 + a Reorder the terms: 3(4 + a) + 8 = 2 + a (4 * 3 + a * 3) + 8 = 2 + a (12 + 3a) + 8 = 2 + a Reorder the terms: 12 + 8 + 3a = 2 + a Combine like terms: 12 + 8 = 20 20 + 3a = 2 + a Solving 20 + 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. 20 + 3a + -1a = 2 + a + -1a Combine like terms: 3a + -1a = 2a 20 + 2a = 2 + a + -1a Combine like terms: a + -1a = 0 20 + 2a = 2 + 0 20 + 2a = 2 Add '-20' to each side of the equation. 20 + -20 + 2a = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 2a = 2 + -20 2a = 2 + -20 Combine like terms: 2 + -20 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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