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Simplifying -3(r + -4s + -9t) = 0 (r * -3 + -4s * -3 + -9t * -3) = 0 (-3r + 12s + 27t) = 0 Solving -3r + 12s + 27t = 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. -3r + 12s + -12s + 27t = 0 + -12s Combine like terms: 12s + -12s = 0 -3r + 0 + 27t = 0 + -12s -3r + 27t = 0 + -12s Remove the zero: -3r + 27t = -12s Add '-27t' to each side of the equation. -3r + 27t + -27t = -12s + -27t Combine like terms: 27t + -27t = 0 -3r + 0 = -12s + -27t -3r = -12s + -27t Divide each side by '-3'. r = 4s + 9t Simplifying r = 4s + 9t
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