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Simplifying 6(5r + 7z + -2s) = 0 Reorder the terms: 6(5r + -2s + 7z) = 0 (5r * 6 + -2s * 6 + 7z * 6) = 0 (30r + -12s + 42z) = 0 Solving 30r + -12s + 42z = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12s' to each side of the equation. 30r + -12s + 12s + 42z = 0 + 12s Combine like terms: -12s + 12s = 0 30r + 0 + 42z = 0 + 12s 30r + 42z = 0 + 12s Remove the zero: 30r + 42z = 12s Add '-42z' to each side of the equation. 30r + 42z + -42z = 12s + -42z Combine like terms: 42z + -42z = 0 30r + 0 = 12s + -42z 30r = 12s + -42z Divide each side by '30'. r = 0.4s + -1.4z Simplifying r = 0.4s + -1.4z
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