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Simplifying 15r + 6s + -11t + r + -9s + t + -2s + 5r + -2t + -1r = 0 Reorder the terms: 15r + r + 5r + -1r + 6s + -9s + -2s + -11t + t + -2t = 0 Combine like terms: 15r + r = 16r 16r + 5r + -1r + 6s + -9s + -2s + -11t + t + -2t = 0 Combine like terms: 16r + 5r = 21r 21r + -1r + 6s + -9s + -2s + -11t + t + -2t = 0 Combine like terms: 21r + -1r = 20r 20r + 6s + -9s + -2s + -11t + t + -2t = 0 Combine like terms: 6s + -9s = -3s 20r + -3s + -2s + -11t + t + -2t = 0 Combine like terms: -3s + -2s = -5s 20r + -5s + -11t + t + -2t = 0 Combine like terms: -11t + t = -10t 20r + -5s + -10t + -2t = 0 Combine like terms: -10t + -2t = -12t 20r + -5s + -12t = 0 Solving 20r + -5s + -12t = 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. 20r + -5s + 5s + -12t = 0 + 5s Combine like terms: -5s + 5s = 0 20r + 0 + -12t = 0 + 5s 20r + -12t = 0 + 5s Remove the zero: 20r + -12t = 5s Add '12t' to each side of the equation. 20r + -12t + 12t = 5s + 12t Combine like terms: -12t + 12t = 0 20r + 0 = 5s + 12t 20r = 5s + 12t Divide each side by '20'. r = 0.25s + 0.6t Simplifying r = 0.25s + 0.6t
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