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Simplifying 5(2 + a) = 3(a + 6) (2 * 5 + a * 5) = 3(a + 6) (10 + 5a) = 3(a + 6) Reorder the terms: 10 + 5a = 3(6 + a) 10 + 5a = (6 * 3 + a * 3) 10 + 5a = (18 + 3a) Solving 10 + 5a = 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 + 5a + -3a = 18 + 3a + -3a Combine like terms: 5a + -3a = 2a 10 + 2a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 2a = 18 + 0 10 + 2a = 18 Add '-10' to each side of the equation. 10 + -10 + 2a = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 18 + -10 2a = 18 + -10 Combine like terms: 18 + -10 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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