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Simplifying 0 = 8a + 2(5 + -1b) + -2a 0 = 8a + (5 * 2 + -1b * 2) + -2a 0 = 8a + (10 + -2b) + -2a Reorder the terms: 0 = 10 + 8a + -2a + -2b Combine like terms: 8a + -2a = 6a 0 = 10 + 6a + -2b Solving 0 = 10 + 6a + -2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 0 + -6a = 10 + 6a + -6a + -2b Remove the zero: -6a = 10 + 6a + -6a + -2b Combine like terms: 6a + -6a = 0 -6a = 10 + 0 + -2b -6a = 10 + -2b Divide each side by '-6'. a = -1.666666667 + 0.3333333333b Simplifying a = -1.666666667 + 0.3333333333b
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