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Simplifying 3(2a + 5) + -1 = 9a + 2 Reorder the terms: 3(5 + 2a) + -1 = 9a + 2 (5 * 3 + 2a * 3) + -1 = 9a + 2 (15 + 6a) + -1 = 9a + 2 Reorder the terms: 15 + -1 + 6a = 9a + 2 Combine like terms: 15 + -1 = 14 14 + 6a = 9a + 2 Reorder the terms: 14 + 6a = 2 + 9a Solving 14 + 6a = 2 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 14 + 6a + -9a = 2 + 9a + -9a Combine like terms: 6a + -9a = -3a 14 + -3a = 2 + 9a + -9a Combine like terms: 9a + -9a = 0 14 + -3a = 2 + 0 14 + -3a = 2 Add '-14' to each side of the equation. 14 + -14 + -3a = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = 2 + -14 -3a = 2 + -14 Combine like terms: 2 + -14 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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