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Simplifying -9r + 6t + -1s + -5r + s + 4t + -1t + 2s + -1r = 0 Reorder the terms: -9r + -5r + -1r + -1s + s + 2s + 6t + 4t + -1t = 0 Combine like terms: -9r + -5r = -14r -14r + -1r + -1s + s + 2s + 6t + 4t + -1t = 0 Combine like terms: -14r + -1r = -15r -15r + -1s + s + 2s + 6t + 4t + -1t = 0 Combine like terms: -1s + s = 0 -15r + 0 + 2s + 6t + 4t + -1t = 0 -15r + 2s + 6t + 4t + -1t = 0 Combine like terms: 6t + 4t = 10t -15r + 2s + 10t + -1t = 0 Combine like terms: 10t + -1t = 9t -15r + 2s + 9t = 0 Solving -15r + 2s + 9t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2s' to each side of the equation. -15r + 2s + -2s + 9t = 0 + -2s Combine like terms: 2s + -2s = 0 -15r + 0 + 9t = 0 + -2s -15r + 9t = 0 + -2s Remove the zero: -15r + 9t = -2s Add '-9t' to each side of the equation. -15r + 9t + -9t = -2s + -9t Combine like terms: 9t + -9t = 0 -15r + 0 = -2s + -9t -15r = -2s + -9t Divide each side by '-15'. r = 0.1333333333s + 0.6t Simplifying r = 0.1333333333s + 0.6t
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