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Simplifying 0 = 2(a + b) + 5(4a + 2b) 0 = (a * 2 + b * 2) + 5(4a + 2b) 0 = (2a + 2b) + 5(4a + 2b) 0 = 2a + 2b + (4a * 5 + 2b * 5) 0 = 2a + 2b + (20a + 10b) Reorder the terms: 0 = 2a + 20a + 2b + 10b Combine like terms: 2a + 20a = 22a 0 = 22a + 2b + 10b Combine like terms: 2b + 10b = 12b 0 = 22a + 12b Solving 0 = 22a + 12b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 0 + -22a = 22a + -22a + 12b Remove the zero: -22a = 22a + -22a + 12b Combine like terms: 22a + -22a = 0 -22a = 0 + 12b -22a = 12b Divide each side by '-22'. a = -0.5454545455b Simplifying a = -0.5454545455b
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