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Simplifying -9r + 3t + -8s + -5r + 12s + 4t + -1t + 5s + -1r = 0 Reorder the terms: -9r + -5r + -1r + -8s + 12s + 5s + 3t + 4t + -1t = 0 Combine like terms: -9r + -5r = -14r -14r + -1r + -8s + 12s + 5s + 3t + 4t + -1t = 0 Combine like terms: -14r + -1r = -15r -15r + -8s + 12s + 5s + 3t + 4t + -1t = 0 Combine like terms: -8s + 12s = 4s -15r + 4s + 5s + 3t + 4t + -1t = 0 Combine like terms: 4s + 5s = 9s -15r + 9s + 3t + 4t + -1t = 0 Combine like terms: 3t + 4t = 7t -15r + 9s + 7t + -1t = 0 Combine like terms: 7t + -1t = 6t -15r + 9s + 6t = 0 Solving -15r + 9s + 6t = 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. -15r + 9s + -9s + 6t = 0 + -9s Combine like terms: 9s + -9s = 0 -15r + 0 + 6t = 0 + -9s -15r + 6t = 0 + -9s Remove the zero: -15r + 6t = -9s Add '-6t' to each side of the equation. -15r + 6t + -6t = -9s + -6t Combine like terms: 6t + -6t = 0 -15r + 0 = -9s + -6t -15r = -9s + -6t Divide each side by '-15'. r = 0.6s + 0.4t Simplifying r = 0.6s + 0.4t
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