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Simplifying 2(4r + 2s + 3t) = 0 (4r * 2 + 2s * 2 + 3t * 2) = 0 (8r + 4s + 6t) = 0 Solving 8r + 4s + 6t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4s' to each side of the equation. 8r + 4s + -4s + 6t = 0 + -4s Combine like terms: 4s + -4s = 0 8r + 0 + 6t = 0 + -4s 8r + 6t = 0 + -4s Remove the zero: 8r + 6t = -4s Add '-6t' to each side of the equation. 8r + 6t + -6t = -4s + -6t Combine like terms: 6t + -6t = 0 8r + 0 = -4s + -6t 8r = -4s + -6t Divide each side by '8'. r = -0.5s + -0.75t Simplifying r = -0.5s + -0.75t
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