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Simplifying 2(2a + 1) = a + 14 Reorder the terms: 2(1 + 2a) = a + 14 (1 * 2 + 2a * 2) = a + 14 (2 + 4a) = a + 14 Reorder the terms: 2 + 4a = 14 + a Solving 2 + 4a = 14 + 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. 2 + 4a + -1a = 14 + a + -1a Combine like terms: 4a + -1a = 3a 2 + 3a = 14 + a + -1a Combine like terms: a + -1a = 0 2 + 3a = 14 + 0 2 + 3a = 14 Add '-2' to each side of the equation. 2 + -2 + 3a = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 14 + -2 3a = 14 + -2 Combine like terms: 14 + -2 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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