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Simplifying 4r + 5z = -2r + 35 Reorder the terms: 4r + 5z = 35 + -2r Solving 4r + 5z = 35 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 4r + 2r + 5z = 35 + -2r + 2r Combine like terms: 4r + 2r = 6r 6r + 5z = 35 + -2r + 2r Combine like terms: -2r + 2r = 0 6r + 5z = 35 + 0 6r + 5z = 35 Add '-5z' to each side of the equation. 6r + 5z + -5z = 35 + -5z Combine like terms: 5z + -5z = 0 6r + 0 = 35 + -5z 6r = 35 + -5z Divide each side by '6'. r = 5.833333333 + -0.8333333333z Simplifying r = 5.833333333 + -0.8333333333z
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