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Simplifying 2(2a + -1b) + 5(3a + -2b) = 0 (2a * 2 + -1b * 2) + 5(3a + -2b) = 0 (4a + -2b) + 5(3a + -2b) = 0 4a + -2b + (3a * 5 + -2b * 5) = 0 4a + -2b + (15a + -10b) = 0 Reorder the terms: 4a + 15a + -2b + -10b = 0 Combine like terms: 4a + 15a = 19a 19a + -2b + -10b = 0 Combine like terms: -2b + -10b = -12b 19a + -12b = 0 Solving 19a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 19a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 19a + 0 = 0 + 12b 19a = 0 + 12b Remove the zero: 19a = 12b Divide each side by '19'. a = 0.6315789474b Simplifying a = 0.6315789474b
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