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Simplifying 5(a + 1) = 3(a + 5) Reorder the terms: 5(1 + a) = 3(a + 5) (1 * 5 + a * 5) = 3(a + 5) (5 + 5a) = 3(a + 5) Reorder the terms: 5 + 5a = 3(5 + a) 5 + 5a = (5 * 3 + a * 3) 5 + 5a = (15 + 3a) Solving 5 + 5a = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5 + 5a + -3a = 15 + 3a + -3a Combine like terms: 5a + -3a = 2a 5 + 2a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 2a = 15 + 0 5 + 2a = 15 Add '-5' to each side of the equation. 5 + -5 + 2a = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 15 + -5 2a = 15 + -5 Combine like terms: 15 + -5 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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