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