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Simplifying 6(r + -4s + -6t) = 0 (r * 6 + -4s * 6 + -6t * 6) = 0 (6r + -24s + -36t) = 0 Solving 6r + -24s + -36t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24s' to each side of the equation. 6r + -24s + 24s + -36t = 0 + 24s Combine like terms: -24s + 24s = 0 6r + 0 + -36t = 0 + 24s 6r + -36t = 0 + 24s Remove the zero: 6r + -36t = 24s Add '36t' to each side of the equation. 6r + -36t + 36t = 24s + 36t Combine like terms: -36t + 36t = 0 6r + 0 = 24s + 36t 6r = 24s + 36t Divide each side by '6'. r = 4s + 6t Simplifying r = 4s + 6t
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