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Simplifying (5a + 3) = (15 + -1a) Reorder the terms: (3 + 5a) = (15 + -1a) Remove parenthesis around (3 + 5a) 3 + 5a = (15 + -1a) Remove parenthesis around (15 + -1a) 3 + 5a = 15 + -1a Solving 3 + 5a = 15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 3 + 5a + a = 15 + -1a + a Combine like terms: 5a + a = 6a 3 + 6a = 15 + -1a + a Combine like terms: -1a + a = 0 3 + 6a = 15 + 0 3 + 6a = 15 Add '-3' to each side of the equation. 3 + -3 + 6a = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6a = 15 + -3 6a = 15 + -3 Combine like terms: 15 + -3 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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