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Simplifying 13 + 8a = 3(a + 6) Reorder the terms: 13 + 8a = 3(6 + a) 13 + 8a = (6 * 3 + a * 3) 13 + 8a = (18 + 3a) Solving 13 + 8a = 18 + 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. 13 + 8a + -3a = 18 + 3a + -3a Combine like terms: 8a + -3a = 5a 13 + 5a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 13 + 5a = 18 + 0 13 + 5a = 18 Add '-13' to each side of the equation. 13 + -13 + 5a = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 5a = 18 + -13 5a = 18 + -13 Combine like terms: 18 + -13 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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