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Simplifying -9r + 6t + -5 + -5r + 12s + 4t + -1t + 5s + -1r = 0 Reorder the terms: -5 + -9r + -5r + -1r + 12s + 5s + 6t + 4t + -1t = 0 Combine like terms: -9r + -5r = -14r -5 + -14r + -1r + 12s + 5s + 6t + 4t + -1t = 0 Combine like terms: -14r + -1r = -15r -5 + -15r + 12s + 5s + 6t + 4t + -1t = 0 Combine like terms: 12s + 5s = 17s -5 + -15r + 17s + 6t + 4t + -1t = 0 Combine like terms: 6t + 4t = 10t -5 + -15r + 17s + 10t + -1t = 0 Combine like terms: 10t + -1t = 9t -5 + -15r + 17s + 9t = 0 Solving -5 + -15r + 17s + 9t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -15r + 17s + 5 + 9t = 0 + 5 Reorder the terms: -5 + 5 + -15r + 17s + 9t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -15r + 17s + 9t = 0 + 5 -15r + 17s + 9t = 0 + 5 Combine like terms: 0 + 5 = 5 -15r + 17s + 9t = 5 Add '-17s' to each side of the equation. -15r + 17s + -17s + 9t = 5 + -17s Combine like terms: 17s + -17s = 0 -15r + 0 + 9t = 5 + -17s -15r + 9t = 5 + -17s Add '-9t' to each side of the equation. -15r + 9t + -9t = 5 + -17s + -9t Combine like terms: 9t + -9t = 0 -15r + 0 = 5 + -17s + -9t -15r = 5 + -17s + -9t Divide each side by '-15'. r = -0.3333333333 + 1.133333333s + 0.6t Simplifying r = -0.3333333333 + 1.133333333s + 0.6t
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