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Simplifying 2(3a + -1b) + -5(b + -2a) = 0 (3a * 2 + -1b * 2) + -5(b + -2a) = 0 (6a + -2b) + -5(b + -2a) = 0 Reorder the terms: 6a + -2b + -5(-2a + b) = 0 6a + -2b + (-2a * -5 + b * -5) = 0 6a + -2b + (10a + -5b) = 0 Reorder the terms: 6a + 10a + -2b + -5b = 0 Combine like terms: 6a + 10a = 16a 16a + -2b + -5b = 0 Combine like terms: -2b + -5b = -7b 16a + -7b = 0 Solving 16a + -7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 16a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 16a + 0 = 0 + 7b 16a = 0 + 7b Remove the zero: 16a = 7b Divide each side by '16'. a = 0.4375b Simplifying a = 0.4375b
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