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Simplifying (-7rs + -5t) + -1(5t + rs) = 0 Remove parenthesis around (-7rs + -5t) -7rs + -5t + -1(5t + rs) = 0 Reorder the terms: -7rs + -5t + -1(rs + 5t) = 0 -7rs + -5t + (rs * -1 + 5t * -1) = 0 -7rs + -5t + (-1rs + -5t) = 0 Reorder the terms: -7rs + -1rs + -5t + -5t = 0 Combine like terms: -7rs + -1rs = -8rs -8rs + -5t + -5t = 0 Combine like terms: -5t + -5t = -10t -8rs + -10t = 0 Solving -8rs + -10t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10t' to each side of the equation. -8rs + -10t + 10t = 0 + 10t Combine like terms: -10t + 10t = 0 -8rs + 0 = 0 + 10t -8rs = 0 + 10t Remove the zero: -8rs = 10t Divide each side by '-8s'. r = -1.25s-1t Simplifying r = -1.25s-1t
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