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Simplifying 2(a + -1b) = 8 + -5a (a * 2 + -1b * 2) = 8 + -5a (2a + -2b) = 8 + -5a Solving 2a + -2b = 8 + -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. 2a + 5a + -2b = 8 + -5a + 5a Combine like terms: 2a + 5a = 7a 7a + -2b = 8 + -5a + 5a Combine like terms: -5a + 5a = 0 7a + -2b = 8 + 0 7a + -2b = 8 Add '2b' to each side of the equation. 7a + -2b + 2b = 8 + 2b Combine like terms: -2b + 2b = 0 7a + 0 = 8 + 2b 7a = 8 + 2b Divide each side by '7'. a = 1.142857143 + 0.2857142857b Simplifying a = 1.142857143 + 0.2857142857b
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