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Simplifying 2(2a + -1b) + -8(3 + -5a) = 0 (2a * 2 + -1b * 2) + -8(3 + -5a) = 0 (4a + -2b) + -8(3 + -5a) = 0 4a + -2b + (3 * -8 + -5a * -8) = 0 4a + -2b + (-24 + 40a) = 0 Reorder the terms: -24 + 4a + 40a + -2b = 0 Combine like terms: 4a + 40a = 44a -24 + 44a + -2b = 0 Solving -24 + 44a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 44a + 24 + -2b = 0 + 24 Reorder the terms: -24 + 24 + 44a + -2b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 44a + -2b = 0 + 24 44a + -2b = 0 + 24 Combine like terms: 0 + 24 = 24 44a + -2b = 24 Add '2b' to each side of the equation. 44a + -2b + 2b = 24 + 2b Combine like terms: -2b + 2b = 0 44a + 0 = 24 + 2b 44a = 24 + 2b Divide each side by '44'. a = 0.5454545455 + 0.04545454545b Simplifying a = 0.5454545455 + 0.04545454545b
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