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Simplifying 9(2ab + -3c) + -1(4ab + -6c) = 0 (2ab * 9 + -3c * 9) + -1(4ab + -6c) = 0 (18ab + -27c) + -1(4ab + -6c) = 0 18ab + -27c + (4ab * -1 + -6c * -1) = 0 18ab + -27c + (-4ab + 6c) = 0 Reorder the terms: 18ab + -4ab + -27c + 6c = 0 Combine like terms: 18ab + -4ab = 14ab 14ab + -27c + 6c = 0 Combine like terms: -27c + 6c = -21c 14ab + -21c = 0 Solving 14ab + -21c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21c' to each side of the equation. 14ab + -21c + 21c = 0 + 21c Combine like terms: -21c + 21c = 0 14ab + 0 = 0 + 21c 14ab = 0 + 21c Remove the zero: 14ab = 21c Divide each side by '14b'. a = 1.5b-1c Simplifying a = 1.5b-1c
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