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Simplifying 5b(9a + -1c) + -1d(9a + -1c) = 0 (9a * 5b + -1c * 5b) + -1d(9a + -1c) = 0 (45ab + -5bc) + -1d(9a + -1c) = 0 45ab + -5bc + (9a * -1d + -1c * -1d) = 0 45ab + -5bc + (-9ad + 1cd) = 0 Reorder the terms: 45ab + -9ad + -5bc + 1cd = 0 Solving 45ab + -9ad + -5bc + 1cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5bc' to each side of the equation. 45ab + -9ad + -5bc + 5bc + 1cd = 0 + 5bc Combine like terms: -5bc + 5bc = 0 45ab + -9ad + 0 + 1cd = 0 + 5bc 45ab + -9ad + 1cd = 0 + 5bc Remove the zero: 45ab + -9ad + 1cd = 5bc Add '-1cd' to each side of the equation. 45ab + -9ad + 1cd + -1cd = 5bc + -1cd Combine like terms: 1cd + -1cd = 0 45ab + -9ad + 0 = 5bc + -1cd 45ab + -9ad = 5bc + -1cd Reorder the terms: 45ab + -9ad + -5bc + cd = 5bc + -5bc + -1cd + cd Combine like terms: 5bc + -5bc = 0 45ab + -9ad + -5bc + cd = 0 + -1cd + cd 45ab + -9ad + -5bc + cd = -1cd + cd Combine like terms: -1cd + cd = 0 45ab + -9ad + -5bc + cd = 0 The solution to this equation could not be determined.
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