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Simplifying 6(8r + 2z + -3s) = 0 Reorder the terms: 6(8r + -3s + 2z) = 0 (8r * 6 + -3s * 6 + 2z * 6) = 0 (48r + -18s + 12z) = 0 Solving 48r + -18s + 12z = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18s' to each side of the equation. 48r + -18s + 18s + 12z = 0 + 18s Combine like terms: -18s + 18s = 0 48r + 0 + 12z = 0 + 18s 48r + 12z = 0 + 18s Remove the zero: 48r + 12z = 18s Add '-12z' to each side of the equation. 48r + 12z + -12z = 18s + -12z Combine like terms: 12z + -12z = 0 48r + 0 = 18s + -12z 48r = 18s + -12z Divide each side by '48'. r = 0.375s + -0.25z Simplifying r = 0.375s + -0.25z
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