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Simplifying r + t + 8r + 13t = 0 Reorder the terms: r + 8r + t + 13t = 0 Combine like terms: r + 8r = 9r 9r + t + 13t = 0 Combine like terms: t + 13t = 14t 9r + 14t = 0 Solving 9r + 14t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14t' to each side of the equation. 9r + 14t + -14t = 0 + -14t Combine like terms: 14t + -14t = 0 9r + 0 = 0 + -14t 9r = 0 + -14t Remove the zero: 9r = -14t Divide each side by '9'. r = -1.555555556t Simplifying r = -1.555555556t
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