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Simplifying (2r + -8s + 4t) * 6 = 0 Reorder the terms for easier multiplication: 6(2r + -8s + 4t) = 0 (2r * 6 + -8s * 6 + 4t * 6) = 0 (12r + -48s + 24t) = 0 Solving 12r + -48s + 24t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48s' to each side of the equation. 12r + -48s + 48s + 24t = 0 + 48s Combine like terms: -48s + 48s = 0 12r + 0 + 24t = 0 + 48s 12r + 24t = 0 + 48s Remove the zero: 12r + 24t = 48s Add '-24t' to each side of the equation. 12r + 24t + -24t = 48s + -24t Combine like terms: 24t + -24t = 0 12r + 0 = 48s + -24t 12r = 48s + -24t Divide each side by '12'. r = 4s + -2t Simplifying r = 4s + -2t
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