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Simplifying -9r + 6t + -1s + -5r + s + t + -6t + 5s + -1r = 0 Reorder the terms: -9r + -5r + -1r + -1s + s + 5s + 6t + t + -6t = 0 Combine like terms: -9r + -5r = -14r -14r + -1r + -1s + s + 5s + 6t + t + -6t = 0 Combine like terms: -14r + -1r = -15r -15r + -1s + s + 5s + 6t + t + -6t = 0 Combine like terms: -1s + s = 0 -15r + 0 + 5s + 6t + t + -6t = 0 -15r + 5s + 6t + t + -6t = 0 Combine like terms: 6t + t = 7t -15r + 5s + 7t + -6t = 0 Combine like terms: 7t + -6t = 1t -15r + 5s + 1t = 0 Solving -15r + 5s + 1t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. -15r + 5s + -5s + 1t = 0 + -5s Combine like terms: 5s + -5s = 0 -15r + 0 + 1t = 0 + -5s -15r + 1t = 0 + -5s Remove the zero: -15r + 1t = -5s Add '-1t' to each side of the equation. -15r + 1t + -1t = -5s + -1t Combine like terms: 1t + -1t = 0 -15r + 0 = -5s + -1t -15r = -5s + -1t Divide each side by '-15'. r = 0.3333333333s + 0.06666666667t Simplifying r = 0.3333333333s + 0.06666666667t
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