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Simplifying 2(a + 5) = 12 + a Reorder the terms: 2(5 + a) = 12 + a (5 * 2 + a * 2) = 12 + a (10 + 2a) = 12 + a Solving 10 + 2a = 12 + 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. 10 + 2a + -1a = 12 + a + -1a Combine like terms: 2a + -1a = 1a 10 + 1a = 12 + a + -1a Combine like terms: a + -1a = 0 10 + 1a = 12 + 0 10 + 1a = 12 Add '-10' to each side of the equation. 10 + -10 + 1a = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = 12 + -10 1a = 12 + -10 Combine like terms: 12 + -10 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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