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Simplifying 2(3a + 5) + 4 = 3(3a + 2) + -1a Reorder the terms: 2(5 + 3a) + 4 = 3(3a + 2) + -1a (5 * 2 + 3a * 2) + 4 = 3(3a + 2) + -1a (10 + 6a) + 4 = 3(3a + 2) + -1a Reorder the terms: 10 + 4 + 6a = 3(3a + 2) + -1a Combine like terms: 10 + 4 = 14 14 + 6a = 3(3a + 2) + -1a Reorder the terms: 14 + 6a = 3(2 + 3a) + -1a 14 + 6a = (2 * 3 + 3a * 3) + -1a 14 + 6a = (6 + 9a) + -1a Combine like terms: 9a + -1a = 8a 14 + 6a = 6 + 8a Solving 14 + 6a = 6 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 14 + 6a + -8a = 6 + 8a + -8a Combine like terms: 6a + -8a = -2a 14 + -2a = 6 + 8a + -8a Combine like terms: 8a + -8a = 0 14 + -2a = 6 + 0 14 + -2a = 6 Add '-14' to each side of the equation. 14 + -14 + -2a = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 6 + -14 -2a = 6 + -14 Combine like terms: 6 + -14 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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