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Simplifying 2(5r + 2s + -5t) = 0 (5r * 2 + 2s * 2 + -5t * 2) = 0 (10r + 4s + -10t) = 0 Solving 10r + 4s + -10t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4s' to each side of the equation. 10r + 4s + -4s + -10t = 0 + -4s Combine like terms: 4s + -4s = 0 10r + 0 + -10t = 0 + -4s 10r + -10t = 0 + -4s Remove the zero: 10r + -10t = -4s Add '10t' to each side of the equation. 10r + -10t + 10t = -4s + 10t Combine like terms: -10t + 10t = 0 10r + 0 = -4s + 10t 10r = -4s + 10t Divide each side by '10'. r = -0.4s + t Simplifying r = -0.4s + t
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