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Simplifying 7ab + 2bc + -3ab + -9bc = 0 Reorder the terms: 7ab + -3ab + 2bc + -9bc = 0 Combine like terms: 7ab + -3ab = 4ab 4ab + 2bc + -9bc = 0 Combine like terms: 2bc + -9bc = -7bc 4ab + -7bc = 0 Solving 4ab + -7bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7bc' to each side of the equation. 4ab + -7bc + 7bc = 0 + 7bc Combine like terms: -7bc + 7bc = 0 4ab + 0 = 0 + 7bc 4ab = 0 + 7bc Remove the zero: 4ab = 7bc Divide each side by '4b'. a = 1.75c Simplifying a = 1.75c
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