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Simplifying 3a + 5(2a + 4) + a = 34 Reorder the terms: 3a + 5(4 + 2a) + a = 34 3a + (4 * 5 + 2a * 5) + a = 34 3a + (20 + 10a) + a = 34 Reorder the terms: 20 + 3a + 10a + a = 34 Combine like terms: 3a + 10a = 13a 20 + 13a + a = 34 Combine like terms: 13a + a = 14a 20 + 14a = 34 Solving 20 + 14a = 34 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 14a = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 14a = 34 + -20 14a = 34 + -20 Combine like terms: 34 + -20 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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