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Simplifying (-1t + rs) + -1(t + -1rs) = 0 Reorder the terms: (rs + -1t) + -1(t + -1rs) = 0 Remove parenthesis around (rs + -1t) rs + -1t + -1(t + -1rs) = 0 Reorder the terms: rs + -1t + -1(-1rs + t) = 0 rs + -1t + (-1rs * -1 + t * -1) = 0 rs + -1t + (1rs + -1t) = 0 Reorder the terms: rs + 1rs + -1t + -1t = 0 Combine like terms: rs + 1rs = 2rs 2rs + -1t + -1t = 0 Combine like terms: -1t + -1t = -2t 2rs + -2t = 0 Solving 2rs + -2t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2t' to each side of the equation. 2rs + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 2rs + 0 = 0 + 2t 2rs = 0 + 2t Remove the zero: 2rs = 2t Divide each side by '2s'. r = s-1t Simplifying r = s-1t
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