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Simplifying (8rs + -1t) + -1(6t + 5rs) = 0 Remove parenthesis around (8rs + -1t) 8rs + -1t + -1(6t + 5rs) = 0 Reorder the terms: 8rs + -1t + -1(5rs + 6t) = 0 8rs + -1t + (5rs * -1 + 6t * -1) = 0 8rs + -1t + (-5rs + -6t) = 0 Reorder the terms: 8rs + -5rs + -1t + -6t = 0 Combine like terms: 8rs + -5rs = 3rs 3rs + -1t + -6t = 0 Combine like terms: -1t + -6t = -7t 3rs + -7t = 0 Solving 3rs + -7t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7t' to each side of the equation. 3rs + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 3rs + 0 = 0 + 7t 3rs = 0 + 7t Remove the zero: 3rs = 7t Divide each side by '3s'. r = 2.333333333s-1t Simplifying r = 2.333333333s-1t
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