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Simplifying 3(r + -3s + -6t) = 0 (r * 3 + -3s * 3 + -6t * 3) = 0 (3r + -9s + -18t) = 0 Solving 3r + -9s + -18t = 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 + -18t = 0 + 9s Combine like terms: -9s + 9s = 0 3r + 0 + -18t = 0 + 9s 3r + -18t = 0 + 9s Remove the zero: 3r + -18t = 9s Add '18t' to each side of the equation. 3r + -18t + 18t = 9s + 18t Combine like terms: -18t + 18t = 0 3r + 0 = 9s + 18t 3r = 9s + 18t Divide each side by '3'. r = 3s + 6t Simplifying r = 3s + 6t
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