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Simplifying (5r + -2y) + -1(2r + -3y) = 0 Remove parenthesis around (5r + -2y) 5r + -2y + -1(2r + -3y) = 0 5r + -2y + (2r * -1 + -3y * -1) = 0 5r + -2y + (-2r + 3y) = 0 Reorder the terms: 5r + -2r + -2y + 3y = 0 Combine like terms: 5r + -2r = 3r 3r + -2y + 3y = 0 Combine like terms: -2y + 3y = 1y 3r + 1y = 0 Solving 3r + 1y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1y' to each side of the equation. 3r + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 3r + 0 = 0 + -1y 3r = 0 + -1y Remove the zero: 3r = -1y Divide each side by '3'. r = -0.3333333333y Simplifying r = -0.3333333333y
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