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Simplifying -14y + r(x + y) + -12x = 0 -14y + (x * r + y * r) + -12x = 0 -14y + (rx + ry) + -12x = 0 Reorder the terms: rx + ry + -12x + -14y = 0 Solving rx + ry + -12x + -14y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12x' to each side of the equation. rx + ry + -12x + 12x + -14y = 0 + 12x Combine like terms: -12x + 12x = 0 rx + ry + 0 + -14y = 0 + 12x rx + ry + -14y = 0 + 12x Remove the zero: rx + ry + -14y = 12x Add '14y' to each side of the equation. rx + ry + -14y + 14y = 12x + 14y Combine like terms: -14y + 14y = 0 rx + ry + 0 = 12x + 14y rx + ry = 12x + 14y Reorder the terms: rx + ry + -12x + -14y = 12x + -12x + 14y + -14y Combine like terms: 12x + -12x = 0 rx + ry + -12x + -14y = 0 + 14y + -14y rx + ry + -12x + -14y = 14y + -14y Combine like terms: 14y + -14y = 0 rx + ry + -12x + -14y = 0 The solution to this equation could not be determined.
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