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Simplifying 2s + -3rs + 5r + 2r + -5rs + 3t + -1t + 3s + r = 0 Reorder the terms: 5r + 2r + r + -3rs + -5rs + 2s + 3s + 3t + -1t = 0 Combine like terms: 5r + 2r = 7r 7r + r + -3rs + -5rs + 2s + 3s + 3t + -1t = 0 Combine like terms: 7r + r = 8r 8r + -3rs + -5rs + 2s + 3s + 3t + -1t = 0 Combine like terms: -3rs + -5rs = -8rs 8r + -8rs + 2s + 3s + 3t + -1t = 0 Combine like terms: 2s + 3s = 5s 8r + -8rs + 5s + 3t + -1t = 0 Combine like terms: 3t + -1t = 2t 8r + -8rs + 5s + 2t = 0 Solving 8r + -8rs + 5s + 2t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. 8r + -8rs + 5s + -5s + 2t = 0 + -5s Combine like terms: 5s + -5s = 0 8r + -8rs + 0 + 2t = 0 + -5s 8r + -8rs + 2t = 0 + -5s Remove the zero: 8r + -8rs + 2t = -5s Add '-2t' to each side of the equation. 8r + -8rs + 2t + -2t = -5s + -2t Combine like terms: 2t + -2t = 0 8r + -8rs + 0 = -5s + -2t 8r + -8rs = -5s + -2t Reorder the terms: 8r + -8rs + 5s + 2t = -5s + 5s + -2t + 2t Combine like terms: -5s + 5s = 0 8r + -8rs + 5s + 2t = 0 + -2t + 2t 8r + -8rs + 5s + 2t = -2t + 2t Combine like terms: -2t + 2t = 0 8r + -8rs + 5s + 2t = 0 The solution to this equation could not be determined.
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