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Simplifying 8a + 2(a + 3) + 12 = 4a + 66 Reorder the terms: 8a + 2(3 + a) + 12 = 4a + 66 8a + (3 * 2 + a * 2) + 12 = 4a + 66 8a + (6 + 2a) + 12 = 4a + 66 Reorder the terms: 6 + 12 + 8a + 2a = 4a + 66 Combine like terms: 6 + 12 = 18 18 + 8a + 2a = 4a + 66 Combine like terms: 8a + 2a = 10a 18 + 10a = 4a + 66 Reorder the terms: 18 + 10a = 66 + 4a Solving 18 + 10a = 66 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 18 + 10a + -4a = 66 + 4a + -4a Combine like terms: 10a + -4a = 6a 18 + 6a = 66 + 4a + -4a Combine like terms: 4a + -4a = 0 18 + 6a = 66 + 0 18 + 6a = 66 Add '-18' to each side of the equation. 18 + -18 + 6a = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 6a = 66 + -18 6a = 66 + -18 Combine like terms: 66 + -18 = 48 6a = 48 Divide each side by '6'. a = 8 Simplifying a = 8
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