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Simplifying -3(r + -3s + -8t) = 0 (r * -3 + -3s * -3 + -8t * -3) = 0 (-3r + 9s + 24t) = 0 Solving -3r + 9s + 24t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. -3r + 9s + -9s + 24t = 0 + -9s Combine like terms: 9s + -9s = 0 -3r + 0 + 24t = 0 + -9s -3r + 24t = 0 + -9s Remove the zero: -3r + 24t = -9s Add '-24t' to each side of the equation. -3r + 24t + -24t = -9s + -24t Combine like terms: 24t + -24t = 0 -3r + 0 = -9s + -24t -3r = -9s + -24t Divide each side by '-3'. r = 3s + 8t Simplifying r = 3s + 8t
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