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Simplifying rX2 + y2 + -6x + 4y + 12 = 0 Reorder the terms: 12 + rX2 + -6x + 4y + y2 = 0 Solving 12 + rX2 + -6x + 4y + y2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + rX2 + -6x + 4y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + rX2 + -6x + 4y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + rX2 + -6x + 4y + y2 = 0 + -12 rX2 + -6x + 4y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 rX2 + -6x + 4y + y2 = -12 Add '6x' to each side of the equation. rX2 + -6x + 4y + 6x + y2 = -12 + 6x Reorder the terms: rX2 + -6x + 6x + 4y + y2 = -12 + 6x Combine like terms: -6x + 6x = 0 rX2 + 0 + 4y + y2 = -12 + 6x rX2 + 4y + y2 = -12 + 6x Add '-4y' to each side of the equation. rX2 + 4y + -4y + y2 = -12 + 6x + -4y Combine like terms: 4y + -4y = 0 rX2 + 0 + y2 = -12 + 6x + -4y rX2 + y2 = -12 + 6x + -4y Add '-1y2' to each side of the equation. rX2 + y2 + -1y2 = -12 + 6x + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 rX2 + 0 = -12 + 6x + -4y + -1y2 rX2 = -12 + 6x + -4y + -1y2 Divide each side by 'X2'. r = -12X-2 + 6xX-2 + -4yX-2 + -1y2X-2 Simplifying r = -12X-2 + 6xX-2 + -4yX-2 + -1y2X-2
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