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Simplifying (2rs2t2 + -5st2 + 4) + -1(9 + 6rs2t2 + -3st2) = 0 Reorder the terms: (4 + 2rs2t2 + -5st2) + -1(9 + 6rs2t2 + -3st2) = 0 Remove parenthesis around (4 + 2rs2t2 + -5st2) 4 + 2rs2t2 + -5st2 + -1(9 + 6rs2t2 + -3st2) = 0 4 + 2rs2t2 + -5st2 + (9 * -1 + 6rs2t2 * -1 + -3st2 * -1) = 0 4 + 2rs2t2 + -5st2 + (-9 + -6rs2t2 + 3st2) = 0 Reorder the terms: 4 + -9 + 2rs2t2 + -6rs2t2 + -5st2 + 3st2 = 0 Combine like terms: 4 + -9 = -5 -5 + 2rs2t2 + -6rs2t2 + -5st2 + 3st2 = 0 Combine like terms: 2rs2t2 + -6rs2t2 = -4rs2t2 -5 + -4rs2t2 + -5st2 + 3st2 = 0 Combine like terms: -5st2 + 3st2 = -2st2 -5 + -4rs2t2 + -2st2 = 0 Solving -5 + -4rs2t2 + -2st2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4rs2t2 + 5 + -2st2 = 0 + 5 Reorder the terms: -5 + 5 + -4rs2t2 + -2st2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4rs2t2 + -2st2 = 0 + 5 -4rs2t2 + -2st2 = 0 + 5 Combine like terms: 0 + 5 = 5 -4rs2t2 + -2st2 = 5 Add '2st2' to each side of the equation. -4rs2t2 + -2st2 + 2st2 = 5 + 2st2 Combine like terms: -2st2 + 2st2 = 0 -4rs2t2 + 0 = 5 + 2st2 -4rs2t2 = 5 + 2st2 Divide each side by '-4s2t2'. r = -1.25s-2t-2 + -0.5s-1 Simplifying r = -1.25s-2t-2 + -0.5s-1
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