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Simplifying 5a + 7b = 3a + 5b Solving 5a + 7b = 3a + 5b 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 + 7b = 3a + -3a + 5b Combine like terms: 5a + -3a = 2a 2a + 7b = 3a + -3a + 5b Combine like terms: 3a + -3a = 0 2a + 7b = 0 + 5b 2a + 7b = 5b Add '-7b' to each side of the equation. 2a + 7b + -7b = 5b + -7b Combine like terms: 7b + -7b = 0 2a + 0 = 5b + -7b 2a = 5b + -7b Combine like terms: 5b + -7b = -2b 2a = -2b Divide each side by '2'. a = -1b Simplifying a = -1b
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