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Simplifying -7t + 6t + -8s + -1r + 12s + 4t + -6t + 5s + -1r = 0 Reorder the terms: -1r + -1r + -8s + 12s + 5s + -7t + 6t + 4t + -6t = 0 Combine like terms: -1r + -1r = -2r -2r + -8s + 12s + 5s + -7t + 6t + 4t + -6t = 0 Combine like terms: -8s + 12s = 4s -2r + 4s + 5s + -7t + 6t + 4t + -6t = 0 Combine like terms: 4s + 5s = 9s -2r + 9s + -7t + 6t + 4t + -6t = 0 Combine like terms: -7t + 6t = -1t -2r + 9s + -1t + 4t + -6t = 0 Combine like terms: -1t + 4t = 3t -2r + 9s + 3t + -6t = 0 Combine like terms: 3t + -6t = -3t -2r + 9s + -3t = 0 Solving -2r + 9s + -3t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. -2r + 9s + -9s + -3t = 0 + -9s Combine like terms: 9s + -9s = 0 -2r + 0 + -3t = 0 + -9s -2r + -3t = 0 + -9s Remove the zero: -2r + -3t = -9s Add '3t' to each side of the equation. -2r + -3t + 3t = -9s + 3t Combine like terms: -3t + 3t = 0 -2r + 0 = -9s + 3t -2r = -9s + 3t Divide each side by '-2'. r = 4.5s + -1.5t Simplifying r = 4.5s + -1.5t
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