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Simplifying 7(r + 2t) = 5t (r * 7 + 2t * 7) = 5t (7r + 14t) = 5t Solving 7r + 14t = 5t 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. 7r + 14t + -14t = 5t + -14t Combine like terms: 14t + -14t = 0 7r + 0 = 5t + -14t 7r = 5t + -14t Combine like terms: 5t + -14t = -9t 7r = -9t Divide each side by '7'. r = -1.285714286t Simplifying r = -1.285714286t
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