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Simplifying 3(2a + 3b) = 2(a + b) (2a * 3 + 3b * 3) = 2(a + b) (6a + 9b) = 2(a + b) 6a + 9b = (a * 2 + b * 2) 6a + 9b = (2a + 2b) Solving 6a + 9b = 2a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6a + -2a + 9b = 2a + -2a + 2b Combine like terms: 6a + -2a = 4a 4a + 9b = 2a + -2a + 2b Combine like terms: 2a + -2a = 0 4a + 9b = 0 + 2b 4a + 9b = 2b Add '-9b' to each side of the equation. 4a + 9b + -9b = 2b + -9b Combine like terms: 9b + -9b = 0 4a + 0 = 2b + -9b 4a = 2b + -9b Combine like terms: 2b + -9b = -7b 4a = -7b Divide each side by '4'. a = -1.75b Simplifying a = -1.75b
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