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