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Simplifying 5a + 3b = 2a + 7b Solving 5a + 3b = 2a + 7b 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 + 7b Combine like terms: 5a + -2a = 3a 3a + 3b = 2a + -2a + 7b Combine like terms: 2a + -2a = 0 3a + 3b = 0 + 7b 3a + 3b = 7b Add '-3b' to each side of the equation. 3a + 3b + -3b = 7b + -3b Combine like terms: 3b + -3b = 0 3a + 0 = 7b + -3b 3a = 7b + -3b Combine like terms: 7b + -3b = 4b 3a = 4b Divide each side by '3'. a = 1.333333333b Simplifying a = 1.333333333b
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