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Simplifying x2 + y2 + -2ax + -2by + c = r2 Reorder the terms: -2ax + -2by + c + x2 + y2 = r2 Solving -2ax + -2by + c + x2 + y2 = r2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2by' to each side of the equation. -2ax + -2by + c + x2 + 2by + y2 = 2by + r2 Reorder the terms: -2ax + -2by + 2by + c + x2 + y2 = 2by + r2 Combine like terms: -2by + 2by = 0 -2ax + 0 + c + x2 + y2 = 2by + r2 -2ax + c + x2 + y2 = 2by + r2 Add '-1c' to each side of the equation. -2ax + c + x2 + -1c + y2 = 2by + -1c + r2 Reorder the terms: -2ax + c + -1c + x2 + y2 = 2by + -1c + r2 Combine like terms: c + -1c = 0 -2ax + 0 + x2 + y2 = 2by + -1c + r2 -2ax + x2 + y2 = 2by + -1c + r2 Add '-1x2' to each side of the equation. -2ax + x2 + -1x2 + y2 = 2by + -1c + r2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2ax + 0 + y2 = 2by + -1c + r2 + -1x2 -2ax + y2 = 2by + -1c + r2 + -1x2 Add '-1y2' to each side of the equation. -2ax + y2 + -1y2 = 2by + -1c + r2 + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2ax + 0 = 2by + -1c + r2 + -1x2 + -1y2 -2ax = 2by + -1c + r2 + -1x2 + -1y2 Divide each side by '-2x'. a = -1bx-1y + 0.5cx-1 + -0.5r2x-1 + 0.5x + 0.5x-1y2 Simplifying a = -1bx-1y + 0.5cx-1 + -0.5r2x-1 + 0.5x + 0.5x-1y2 Reorder the terms: a = -1bx-1y + 0.5cx-1 + -0.5r2x-1 + 0.5x-1y2 + 0.5x
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