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Simplifying 3b + 3(3b + 3a) + -3 = 3a + 3 Reorder the terms: 3b + 3(3a + 3b) + -3 = 3a + 3 3b + (3a * 3 + 3b * 3) + -3 = 3a + 3 3b + (9a + 9b) + -3 = 3a + 3 Reorder the terms: -3 + 9a + 3b + 9b = 3a + 3 Combine like terms: 3b + 9b = 12b -3 + 9a + 12b = 3a + 3 Reorder the terms: -3 + 9a + 12b = 3 + 3a Solving -3 + 9a + 12b = 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. -3 + 9a + -3a + 12b = 3 + 3a + -3a Combine like terms: 9a + -3a = 6a -3 + 6a + 12b = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 -3 + 6a + 12b = 3 + 0 -3 + 6a + 12b = 3 Add '3' to each side of the equation. -3 + 6a + 3 + 12b = 3 + 3 Reorder the terms: -3 + 3 + 6a + 12b = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 6a + 12b = 3 + 3 6a + 12b = 3 + 3 Combine like terms: 3 + 3 = 6 6a + 12b = 6 Add '-12b' to each side of the equation. 6a + 12b + -12b = 6 + -12b Combine like terms: 12b + -12b = 0 6a + 0 = 6 + -12b 6a = 6 + -12b Divide each side by '6'. a = 1 + -2b Simplifying a = 1 + -2b
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