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Simplifying 3(a + 2) + 2(a + 5) = 36 Reorder the terms: 3(2 + a) + 2(a + 5) = 36 (2 * 3 + a * 3) + 2(a + 5) = 36 (6 + 3a) + 2(a + 5) = 36 Reorder the terms: 6 + 3a + 2(5 + a) = 36 6 + 3a + (5 * 2 + a * 2) = 36 6 + 3a + (10 + 2a) = 36 Reorder the terms: 6 + 10 + 3a + 2a = 36 Combine like terms: 6 + 10 = 16 16 + 3a + 2a = 36 Combine like terms: 3a + 2a = 5a 16 + 5a = 36 Solving 16 + 5a = 36 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5a = 36 + -16 Combine like terms: 16 + -16 = 0 0 + 5a = 36 + -16 5a = 36 + -16 Combine like terms: 36 + -16 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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