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Simplifying 4ab + 10bc + -1ba + -7cb = 0 Reorder the terms: 4ab + -1ab + 10bc + -7bc = 0 Combine like terms: 4ab + -1ab = 3ab 3ab + 10bc + -7bc = 0 Combine like terms: 10bc + -7bc = 3bc 3ab + 3bc = 0 Solving 3ab + 3bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bc' to each side of the equation. 3ab + 3bc + -3bc = 0 + -3bc Combine like terms: 3bc + -3bc = 0 3ab + 0 = 0 + -3bc 3ab = 0 + -3bc Remove the zero: 3ab = -3bc Divide each side by '3b'. a = -1c Simplifying a = -1c
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