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Simplifying 4(a + 2) = 2(a + 6) Reorder the terms: 4(2 + a) = 2(a + 6) (2 * 4 + a * 4) = 2(a + 6) (8 + 4a) = 2(a + 6) Reorder the terms: 8 + 4a = 2(6 + a) 8 + 4a = (6 * 2 + a * 2) 8 + 4a = (12 + 2a) Solving 8 + 4a = 12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 8 + 4a + -2a = 12 + 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = 12 + 0 8 + 2a = 12 Add '-8' to each side of the equation. 8 + -8 + 2a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 12 + -8 2a = 12 + -8 Combine like terms: 12 + -8 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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