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Simplifying r(-5) + z(y + -5) = 0 Reorder the terms for easier multiplication: -5r + z(y + -5) = 0 Reorder the terms: -5r + z(-5 + y) = 0 -5r + (-5 * z + y * z) = 0 Reorder the terms: -5r + (yz + -5z) = 0 -5r + (yz + -5z) = 0 Solving -5r + yz + -5z = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1yz' to each side of the equation. -5r + yz + -1yz + -5z = 0 + -1yz Combine like terms: yz + -1yz = 0 -5r + 0 + -5z = 0 + -1yz -5r + -5z = 0 + -1yz Remove the zero: -5r + -5z = -1yz Add '5z' to each side of the equation. -5r + -5z + 5z = -1yz + 5z Combine like terms: -5z + 5z = 0 -5r + 0 = -1yz + 5z -5r = -1yz + 5z Divide each side by '-5'. r = 0.2yz + -1z Simplifying r = 0.2yz + -1z
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