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Simplifying 7a + -1b = 2a + 3b Solving 7a + -1b = 2a + 3b 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. 7a + -2a + -1b = 2a + -2a + 3b Combine like terms: 7a + -2a = 5a 5a + -1b = 2a + -2a + 3b Combine like terms: 2a + -2a = 0 5a + -1b = 0 + 3b 5a + -1b = 3b Add 'b' to each side of the equation. 5a + -1b + b = 3b + b Combine like terms: -1b + b = 0 5a + 0 = 3b + b 5a = 3b + b Combine like terms: 3b + b = 4b 5a = 4b Divide each side by '5'. a = 0.8b Simplifying a = 0.8b
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