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Simplifying 6a + 5 + a = 5(a + 3) Reorder the terms: 5 + 6a + a = 5(a + 3) Combine like terms: 6a + a = 7a 5 + 7a = 5(a + 3) Reorder the terms: 5 + 7a = 5(3 + a) 5 + 7a = (3 * 5 + a * 5) 5 + 7a = (15 + 5a) Solving 5 + 7a = 15 + 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. 5 + 7a + -5a = 15 + 5a + -5a Combine like terms: 7a + -5a = 2a 5 + 2a = 15 + 5a + -5a Combine like terms: 5a + -5a = 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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