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Simplifying 7(a + 2) = 5(a + 4) Reorder the terms: 7(2 + a) = 5(a + 4) (2 * 7 + a * 7) = 5(a + 4) (14 + 7a) = 5(a + 4) Reorder the terms: 14 + 7a = 5(4 + a) 14 + 7a = (4 * 5 + a * 5) 14 + 7a = (20 + 5a) Solving 14 + 7a = 20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 14 + 7a + -5a = 20 + 5a + -5a Combine like terms: 7a + -5a = 2a 14 + 2a = 20 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + 2a = 20 + 0 14 + 2a = 20 Add '-14' to each side of the equation. 14 + -14 + 2a = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2a = 20 + -14 2a = 20 + -14 Combine like terms: 20 + -14 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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