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Simplifying ay + by + c = 0 Solving ay + by + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ay + by + -1by + c = 0 + -1by Combine like terms: by + -1by = 0 ay + 0 + c = 0 + -1by ay + c = 0 + -1by Remove the zero: ay + c = -1by Add '-1c' to each side of the equation. ay + c + -1c = -1by + -1c Combine like terms: c + -1c = 0 ay + 0 = -1by + -1c ay = -1by + -1c Divide each side by 'y'. a = -1b + -1cy-1 Simplifying a = -1b + -1cy-1
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