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Simplifying 5(a + 3) = 3a + 31 Reorder the terms: 5(3 + a) = 3a + 31 (3 * 5 + a * 5) = 3a + 31 (15 + 5a) = 3a + 31 Reorder the terms: 15 + 5a = 31 + 3a Solving 15 + 5a = 31 + 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. 15 + 5a + -3a = 31 + 3a + -3a Combine like terms: 5a + -3a = 2a 15 + 2a = 31 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + 2a = 31 + 0 15 + 2a = 31 Add '-15' to each side of the equation. 15 + -15 + 2a = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 31 + -15 2a = 31 + -15 Combine like terms: 31 + -15 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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