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Simplifying 2(a + 3) + 2(a + 4) = 24 Reorder the terms: 2(3 + a) + 2(a + 4) = 24 (3 * 2 + a * 2) + 2(a + 4) = 24 (6 + 2a) + 2(a + 4) = 24 Reorder the terms: 6 + 2a + 2(4 + a) = 24 6 + 2a + (4 * 2 + a * 2) = 24 6 + 2a + (8 + 2a) = 24 Reorder the terms: 6 + 8 + 2a + 2a = 24 Combine like terms: 6 + 8 = 14 14 + 2a + 2a = 24 Combine like terms: 2a + 2a = 4a 14 + 4a = 24 Solving 14 + 4a = 24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4a = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 4a = 24 + -14 4a = 24 + -14 Combine like terms: 24 + -14 = 10 4a = 10 Divide each side by '4'. a = 2.5 Simplifying a = 2.5
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