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Simplifying 2(r + -3s + -7t) = 0 (r * 2 + -3s * 2 + -7t * 2) = 0 (2r + -6s + -14t) = 0 Solving 2r + -6s + -14t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6s' to each side of the equation. 2r + -6s + 6s + -14t = 0 + 6s Combine like terms: -6s + 6s = 0 2r + 0 + -14t = 0 + 6s 2r + -14t = 0 + 6s Remove the zero: 2r + -14t = 6s Add '14t' to each side of the equation. 2r + -14t + 14t = 6s + 14t Combine like terms: -14t + 14t = 0 2r + 0 = 6s + 14t 2r = 6s + 14t Divide each side by '2'. r = 3s + 7t Simplifying r = 3s + 7t
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