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Simplifying 8a + -1b = 2a + 6b Solving 8a + -1b = 2a + 6b 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. 8a + -2a + -1b = 2a + -2a + 6b Combine like terms: 8a + -2a = 6a 6a + -1b = 2a + -2a + 6b Combine like terms: 2a + -2a = 0 6a + -1b = 0 + 6b 6a + -1b = 6b Add 'b' to each side of the equation. 6a + -1b + b = 6b + b Combine like terms: -1b + b = 0 6a + 0 = 6b + b 6a = 6b + b Combine like terms: 6b + b = 7b 6a = 7b Divide each side by '6'. a = 1.166666667b Simplifying a = 1.166666667b
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