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Simplifying 5(2a + 1) + -5 = 3a + 1 Reorder the terms: 5(1 + 2a) + -5 = 3a + 1 (1 * 5 + 2a * 5) + -5 = 3a + 1 (5 + 10a) + -5 = 3a + 1 Reorder the terms: 5 + -5 + 10a = 3a + 1 Combine like terms: 5 + -5 = 0 0 + 10a = 3a + 1 10a = 3a + 1 Reorder the terms: 10a = 1 + 3a Solving 10a = 1 + 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. 10a + -3a = 1 + 3a + -3a Combine like terms: 10a + -3a = 7a 7a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 7a = 1 + 0 7a = 1 Divide each side by '7'. a = 0.1428571429 Simplifying a = 0.1428571429
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