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Simplifying 3(6a + -1b) + -5(4b + -2a) = 0 (6a * 3 + -1b * 3) + -5(4b + -2a) = 0 (18a + -3b) + -5(4b + -2a) = 0 Reorder the terms: 18a + -3b + -5(-2a + 4b) = 0 18a + -3b + (-2a * -5 + 4b * -5) = 0 18a + -3b + (10a + -20b) = 0 Reorder the terms: 18a + 10a + -3b + -20b = 0 Combine like terms: 18a + 10a = 28a 28a + -3b + -20b = 0 Combine like terms: -3b + -20b = -23b 28a + -23b = 0 Solving 28a + -23b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23b' to each side of the equation. 28a + -23b + 23b = 0 + 23b Combine like terms: -23b + 23b = 0 28a + 0 = 0 + 23b 28a = 0 + 23b Remove the zero: 28a = 23b Divide each side by '28'. a = 0.8214285714b Simplifying a = 0.8214285714b
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