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Simplifying 5(a + 3) + 4(a + 3) = 45 Reorder the terms: 5(3 + a) + 4(a + 3) = 45 (3 * 5 + a * 5) + 4(a + 3) = 45 (15 + 5a) + 4(a + 3) = 45 Reorder the terms: 15 + 5a + 4(3 + a) = 45 15 + 5a + (3 * 4 + a * 4) = 45 15 + 5a + (12 + 4a) = 45 Reorder the terms: 15 + 12 + 5a + 4a = 45 Combine like terms: 15 + 12 = 27 27 + 5a + 4a = 45 Combine like terms: 5a + 4a = 9a 27 + 9a = 45 Solving 27 + 9a = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 9a = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 9a = 45 + -27 9a = 45 + -27 Combine like terms: 45 + -27 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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