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Simplifying 2(3a + 2b) = 3(3a + 4b) (3a * 2 + 2b * 2) = 3(3a + 4b) (6a + 4b) = 3(3a + 4b) 6a + 4b = (3a * 3 + 4b * 3) 6a + 4b = (9a + 12b) Solving 6a + 4b = 9a + 12b 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. 6a + -9a + 4b = 9a + -9a + 12b Combine like terms: 6a + -9a = -3a -3a + 4b = 9a + -9a + 12b Combine like terms: 9a + -9a = 0 -3a + 4b = 0 + 12b -3a + 4b = 12b Add '-4b' to each side of the equation. -3a + 4b + -4b = 12b + -4b Combine like terms: 4b + -4b = 0 -3a + 0 = 12b + -4b -3a = 12b + -4b Combine like terms: 12b + -4b = 8b -3a = 8b Divide each side by '-3'. a = -2.666666667b Simplifying a = -2.666666667b
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