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Simplifying 3(3a + 1) = 19 + -5a Reorder the terms: 3(1 + 3a) = 19 + -5a (1 * 3 + 3a * 3) = 19 + -5a (3 + 9a) = 19 + -5a Solving 3 + 9a = 19 + -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. 3 + 9a + 5a = 19 + -5a + 5a Combine like terms: 9a + 5a = 14a 3 + 14a = 19 + -5a + 5a Combine like terms: -5a + 5a = 0 3 + 14a = 19 + 0 3 + 14a = 19 Add '-3' to each side of the equation. 3 + -3 + 14a = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 14a = 19 + -3 14a = 19 + -3 Combine like terms: 19 + -3 = 16 14a = 16 Divide each side by '14'. a = 1.142857143 Simplifying a = 1.142857143
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