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Simplifying 2y + 3r + 2x = 0 Reorder the terms: 3r + 2x + 2y = 0 Solving 3r + 2x + 2y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2x' to each side of the equation. 3r + 2x + -2x + 2y = 0 + -2x Combine like terms: 2x + -2x = 0 3r + 0 + 2y = 0 + -2x 3r + 2y = 0 + -2x Remove the zero: 3r + 2y = -2x Add '-2y' to each side of the equation. 3r + 2y + -2y = -2x + -2y Combine like terms: 2y + -2y = 0 3r + 0 = -2x + -2y 3r = -2x + -2y Divide each side by '3'. r = -0.6666666667x + -0.6666666667y Simplifying r = -0.6666666667x + -0.6666666667y
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