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Simplifying 7a + -2b = 5a + b Solving 7a + -2b = 5a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 7a + -5a + -2b = 5a + -5a + b Combine like terms: 7a + -5a = 2a 2a + -2b = 5a + -5a + b Combine like terms: 5a + -5a = 0 2a + -2b = 0 + b 2a + -2b = b Add '2b' to each side of the equation. 2a + -2b + 2b = b + 2b Combine like terms: -2b + 2b = 0 2a + 0 = b + 2b 2a = b + 2b Combine like terms: b + 2b = 3b 2a = 3b Divide each side by '2'. a = 1.5b Simplifying a = 1.5b
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