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Simplifying -4(r + -3s + -6t) = 0 (r * -4 + -3s * -4 + -6t * -4) = 0 (-4r + 12s + 24t) = 0 Solving -4r + 12s + 24t = 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. -4r + 12s + -12s + 24t = 0 + -12s Combine like terms: 12s + -12s = 0 -4r + 0 + 24t = 0 + -12s -4r + 24t = 0 + -12s Remove the zero: -4r + 24t = -12s Add '-24t' to each side of the equation. -4r + 24t + -24t = -12s + -24t Combine like terms: 24t + -24t = 0 -4r + 0 = -12s + -24t -4r = -12s + -24t Divide each side by '-4'. r = 3s + 6t Simplifying r = 3s + 6t
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