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Simplifying 2(5a + 3) + 3(2a + 3) = 63 Reorder the terms: 2(3 + 5a) + 3(2a + 3) = 63 (3 * 2 + 5a * 2) + 3(2a + 3) = 63 (6 + 10a) + 3(2a + 3) = 63 Reorder the terms: 6 + 10a + 3(3 + 2a) = 63 6 + 10a + (3 * 3 + 2a * 3) = 63 6 + 10a + (9 + 6a) = 63 Reorder the terms: 6 + 9 + 10a + 6a = 63 Combine like terms: 6 + 9 = 15 15 + 10a + 6a = 63 Combine like terms: 10a + 6a = 16a 15 + 16a = 63 Solving 15 + 16a = 63 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 16a = 63 + -15 Combine like terms: 15 + -15 = 0 0 + 16a = 63 + -15 16a = 63 + -15 Combine like terms: 63 + -15 = 48 16a = 48 Divide each side by '16'. a = 3 Simplifying a = 3
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