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Simplifying (5r + 4s)(-10t) = 0 Remove parenthesis around (-10t) (5r + 4s) * -10t = 0 Reorder the terms for easier multiplication: -10t(5r + 4s) = 0 (5r * -10t + 4s * -10t) = 0 (-50rt + -40st) = 0 Solving -50rt + -40st = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40st' to each side of the equation. -50rt + -40st + 40st = 0 + 40st Combine like terms: -40st + 40st = 0 -50rt + 0 = 0 + 40st -50rt = 0 + 40st Remove the zero: -50rt = 40st Divide each side by '-50t'. r = -0.8s Simplifying r = -0.8s
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