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Simplifying 3(a + 2) + 4(a + 5) = 54 Reorder the terms: 3(2 + a) + 4(a + 5) = 54 (2 * 3 + a * 3) + 4(a + 5) = 54 (6 + 3a) + 4(a + 5) = 54 Reorder the terms: 6 + 3a + 4(5 + a) = 54 6 + 3a + (5 * 4 + a * 4) = 54 6 + 3a + (20 + 4a) = 54 Reorder the terms: 6 + 20 + 3a + 4a = 54 Combine like terms: 6 + 20 = 26 26 + 3a + 4a = 54 Combine like terms: 3a + 4a = 7a 26 + 7a = 54 Solving 26 + 7a = 54 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7a = 54 + -26 Combine like terms: 26 + -26 = 0 0 + 7a = 54 + -26 7a = 54 + -26 Combine like terms: 54 + -26 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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