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Simplifying 4b(5a + -6c) + -1d(5a + -6c) = 0 (5a * 4b + -6c * 4b) + -1d(5a + -6c) = 0 (20ab + -24bc) + -1d(5a + -6c) = 0 20ab + -24bc + (5a * -1d + -6c * -1d) = 0 20ab + -24bc + (-5ad + 6cd) = 0 Reorder the terms: 20ab + -5ad + -24bc + 6cd = 0 Solving 20ab + -5ad + -24bc + 6cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24bc' to each side of the equation. 20ab + -5ad + -24bc + 24bc + 6cd = 0 + 24bc Combine like terms: -24bc + 24bc = 0 20ab + -5ad + 0 + 6cd = 0 + 24bc 20ab + -5ad + 6cd = 0 + 24bc Remove the zero: 20ab + -5ad + 6cd = 24bc Add '-6cd' to each side of the equation. 20ab + -5ad + 6cd + -6cd = 24bc + -6cd Combine like terms: 6cd + -6cd = 0 20ab + -5ad + 0 = 24bc + -6cd 20ab + -5ad = 24bc + -6cd Reorder the terms: 20ab + -5ad + -24bc + 6cd = 24bc + -24bc + -6cd + 6cd Combine like terms: 24bc + -24bc = 0 20ab + -5ad + -24bc + 6cd = 0 + -6cd + 6cd 20ab + -5ad + -24bc + 6cd = -6cd + 6cd Combine like terms: -6cd + 6cd = 0 20ab + -5ad + -24bc + 6cd = 0 The solution to this equation could not be determined.
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