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Simplifying 5a + 3b = 2a + 9b Solving 5a + 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. 5a + -2a + 3b = 2a + -2a + 9b Combine like terms: 5a + -2a = 3a 3a + 3b = 2a + -2a + 9b Combine like terms: 2a + -2a = 0 3a + 3b = 0 + 9b 3a + 3b = 9b Add '-3b' to each side of the equation. 3a + 3b + -3b = 9b + -3b Combine like terms: 3b + -3b = 0 3a + 0 = 9b + -3b 3a = 9b + -3b Combine like terms: 9b + -3b = 6b 3a = 6b Divide each side by '3'. a = 2b Simplifying a = 2b
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