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