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Simplifying 5t + 7r + -137 = 823 Reorder the terms: -137 + 7r + 5t = 823 Solving -137 + 7r + 5t = 823 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 7r + 137 + 5t = 823 + 137 Reorder the terms: -137 + 137 + 7r + 5t = 823 + 137 Combine like terms: -137 + 137 = 0 0 + 7r + 5t = 823 + 137 7r + 5t = 823 + 137 Combine like terms: 823 + 137 = 960 7r + 5t = 960 Add '-5t' to each side of the equation. 7r + 5t + -5t = 960 + -5t Combine like terms: 5t + -5t = 0 7r + 0 = 960 + -5t 7r = 960 + -5t Divide each side by '7'. r = 137.1428571 + -0.7142857143t Simplifying r = 137.1428571 + -0.7142857143t
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