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Simplifying 2(5 + 2a) = 18 + 3a (5 * 2 + 2a * 2) = 18 + 3a (10 + 4a) = 18 + 3a Solving 10 + 4a = 18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + 4a + -3a = 18 + 3a + -3a Combine like terms: 4a + -3a = 1a 10 + 1a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 1a = 18 + 0 10 + 1a = 18 Add '-10' to each side of the equation. 10 + -10 + 1a = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = 18 + -10 1a = 18 + -10 Combine like terms: 18 + -10 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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