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Simplifying 3 + 3(3b + 3a) + -3 = 3a + 3 Reorder the terms: 3 + 3(3a + 3b) + -3 = 3a + 3 3 + (3a * 3 + 3b * 3) + -3 = 3a + 3 3 + (9a + 9b) + -3 = 3a + 3 Reorder the terms: 3 + -3 + 9a + 9b = 3a + 3 Combine like terms: 3 + -3 = 0 0 + 9a + 9b = 3a + 3 9a + 9b = 3a + 3 Reorder the terms: 9a + 9b = 3 + 3a Solving 9a + 9b = 3 + 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. 9a + -3a + 9b = 3 + 3a + -3a Combine like terms: 9a + -3a = 6a 6a + 9b = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 6a + 9b = 3 + 0 6a + 9b = 3 Add '-9b' to each side of the equation. 6a + 9b + -9b = 3 + -9b Combine like terms: 9b + -9b = 0 6a + 0 = 3 + -9b 6a = 3 + -9b Divide each side by '6'. a = 0.5 + -1.5b Simplifying a = 0.5 + -1.5b
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