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Simplifying 7x + 4y + -3x + 8y + c = 0 Reorder the terms: c + 7x + -3x + 4y + 8y = 0 Combine like terms: 7x + -3x = 4x c + 4x + 4y + 8y = 0 Combine like terms: 4y + 8y = 12y c + 4x + 12y = 0 Solving c + 4x + 12y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4x' to each side of the equation. c + 4x + -4x + 12y = 0 + -4x Combine like terms: 4x + -4x = 0 c + 0 + 12y = 0 + -4x c + 12y = 0 + -4x Remove the zero: c + 12y = -4x Add '-12y' to each side of the equation. c + 12y + -12y = -4x + -12y Combine like terms: 12y + -12y = 0 c + 0 = -4x + -12y c = -4x + -12y Simplifying c = -4x + -12y
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