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Simplifying 50(3a + -1b) + -20(b + -2a) = 0 (3a * 50 + -1b * 50) + -20(b + -2a) = 0 (150a + -50b) + -20(b + -2a) = 0 Reorder the terms: 150a + -50b + -20(-2a + b) = 0 150a + -50b + (-2a * -20 + b * -20) = 0 150a + -50b + (40a + -20b) = 0 Reorder the terms: 150a + 40a + -50b + -20b = 0 Combine like terms: 150a + 40a = 190a 190a + -50b + -20b = 0 Combine like terms: -50b + -20b = -70b 190a + -70b = 0 Solving 190a + -70b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '70b' to each side of the equation. 190a + -70b + 70b = 0 + 70b Combine like terms: -70b + 70b = 0 190a + 0 = 0 + 70b 190a = 0 + 70b Remove the zero: 190a = 70b Divide each side by '190'. a = 0.3684210526b Simplifying a = 0.3684210526b
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