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Simplifying -6(r + -2s + -7t) = 0 (r * -6 + -2s * -6 + -7t * -6) = 0 (-6r + 12s + 42t) = 0 Solving -6r + 12s + 42t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12s' to each side of the equation. -6r + 12s + -12s + 42t = 0 + -12s Combine like terms: 12s + -12s = 0 -6r + 0 + 42t = 0 + -12s -6r + 42t = 0 + -12s Remove the zero: -6r + 42t = -12s Add '-42t' to each side of the equation. -6r + 42t + -42t = -12s + -42t Combine like terms: 42t + -42t = 0 -6r + 0 = -12s + -42t -6r = -12s + -42t Divide each side by '-6'. r = 2s + 7t Simplifying r = 2s + 7t
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