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Simplifying 7a + -1b = 5a Solving 7a + -1b = 5a 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 + -1b = 5a + -5a Combine like terms: 7a + -5a = 2a 2a + -1b = 5a + -5a Combine like terms: 5a + -5a = 0 2a + -1b = 0 Add 'b' to each side of the equation. 2a + -1b + b = 0 + b Combine like terms: -1b + b = 0 2a + 0 = 0 + b 2a = 0 + b Remove the zero: 2a = b Divide each side by '2'. a = 0.5b Simplifying a = 0.5b
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