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Simplifying 4(r + -2s + -8t) = 0 (r * 4 + -2s * 4 + -8t * 4) = 0 (4r + -8s + -32t) = 0 Solving 4r + -8s + -32t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8s' to each side of the equation. 4r + -8s + 8s + -32t = 0 + 8s Combine like terms: -8s + 8s = 0 4r + 0 + -32t = 0 + 8s 4r + -32t = 0 + 8s Remove the zero: 4r + -32t = 8s Add '32t' to each side of the equation. 4r + -32t + 32t = 8s + 32t Combine like terms: -32t + 32t = 0 4r + 0 = 8s + 32t 4r = 8s + 32t Divide each side by '4'. r = 2s + 8t Simplifying r = 2s + 8t
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