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Simplifying 7(a + 4) = 5(a + 2) Reorder the terms: 7(4 + a) = 5(a + 2) (4 * 7 + a * 7) = 5(a + 2) (28 + 7a) = 5(a + 2) Reorder the terms: 28 + 7a = 5(2 + a) 28 + 7a = (2 * 5 + a * 5) 28 + 7a = (10 + 5a) Solving 28 + 7a = 10 + 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. 28 + 7a + -5a = 10 + 5a + -5a Combine like terms: 7a + -5a = 2a 28 + 2a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 28 + 2a = 10 + 0 28 + 2a = 10 Add '-28' to each side of the equation. 28 + -28 + 2a = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 2a = 10 + -28 2a = 10 + -28 Combine like terms: 10 + -28 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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