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Simplifying 5t(7r) + -137 = 823 Remove parenthesis around (7r) 5t * 7r + -137 = 823 Reorder the terms for easier multiplication: 5 * 7t * r + -137 = 823 Multiply 5 * 7 35t * r + -137 = 823 Multiply t * r 35rt + -137 = 823 Reorder the terms: -137 + 35rt = 823 Solving -137 + 35rt = 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 + 137 + 35rt = 823 + 137 Combine like terms: -137 + 137 = 0 0 + 35rt = 823 + 137 35rt = 823 + 137 Combine like terms: 823 + 137 = 960 35rt = 960 Divide each side by '35t'. r = 27.42857143t-1 Simplifying r = 27.42857143t-1
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