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Simplifying 7r + 2s + 3t + -2r + s + 2t = 0 Reorder the terms: 7r + -2r + 2s + s + 3t + 2t = 0 Combine like terms: 7r + -2r = 5r 5r + 2s + s + 3t + 2t = 0 Combine like terms: 2s + s = 3s 5r + 3s + 3t + 2t = 0 Combine like terms: 3t + 2t = 5t 5r + 3s + 5t = 0 Solving 5r + 3s + 5t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3s' to each side of the equation. 5r + 3s + -3s + 5t = 0 + -3s Combine like terms: 3s + -3s = 0 5r + 0 + 5t = 0 + -3s 5r + 5t = 0 + -3s Remove the zero: 5r + 5t = -3s Add '-5t' to each side of the equation. 5r + 5t + -5t = -3s + -5t Combine like terms: 5t + -5t = 0 5r + 0 = -3s + -5t 5r = -3s + -5t Divide each side by '5'. r = -0.6s + -1t Simplifying r = -0.6s + -1t
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