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Simplifying 5a + 2b = 3a + 3b Solving 5a + 2b = 3a + 3b 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. 5a + -3a + 2b = 3a + -3a + 3b Combine like terms: 5a + -3a = 2a 2a + 2b = 3a + -3a + 3b Combine like terms: 3a + -3a = 0 2a + 2b = 0 + 3b 2a + 2b = 3b Add '-2b' to each side of the equation. 2a + 2b + -2b = 3b + -2b Combine like terms: 2b + -2b = 0 2a + 0 = 3b + -2b 2a = 3b + -2b Combine like terms: 3b + -2b = 1b 2a = 1b Divide each side by '2'. a = 0.5b Simplifying a = 0.5b
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