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Simplifying 9b(5a + 4b + -2c) = 0 (5a * 9b + 4b * 9b + -2c * 9b) = 0 Reorder the terms: (45ab + -18bc + 36b2) = 0 (45ab + -18bc + 36b2) = 0 Solving 45ab + -18bc + 36b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18bc' to each side of the equation. 45ab + -18bc + 18bc + 36b2 = 0 + 18bc Combine like terms: -18bc + 18bc = 0 45ab + 0 + 36b2 = 0 + 18bc 45ab + 36b2 = 0 + 18bc Remove the zero: 45ab + 36b2 = 18bc Add '-36b2' to each side of the equation. 45ab + 36b2 + -36b2 = 18bc + -36b2 Combine like terms: 36b2 + -36b2 = 0 45ab + 0 = 18bc + -36b2 45ab = 18bc + -36b2 Divide each side by '45b'. a = 0.4c + -0.8b Simplifying a = 0.4c + -0.8b Reorder the terms: a = -0.8b + 0.4c
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