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Simplifying 3(2a + 3b) + 2 = 38 (2a * 3 + 3b * 3) + 2 = 38 (6a + 9b) + 2 = 38 Reorder the terms: 2 + 6a + 9b = 38 Solving 2 + 6a + 9b = 38 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6a + -2 + 9b = 38 + -2 Reorder the terms: 2 + -2 + 6a + 9b = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6a + 9b = 38 + -2 6a + 9b = 38 + -2 Combine like terms: 38 + -2 = 36 6a + 9b = 36 Add '-9b' to each side of the equation. 6a + 9b + -9b = 36 + -9b Combine like terms: 9b + -9b = 0 6a + 0 = 36 + -9b 6a = 36 + -9b Divide each side by '6'. a = 6 + -1.5b Simplifying a = 6 + -1.5b
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