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Simplifying 6r + z = 3r + 11 Reorder the terms: 6r + z = 11 + 3r Solving 6r + z = 11 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 6r + -3r + z = 11 + 3r + -3r Combine like terms: 6r + -3r = 3r 3r + z = 11 + 3r + -3r Combine like terms: 3r + -3r = 0 3r + z = 11 + 0 3r + z = 11 Add '-1z' to each side of the equation. 3r + z + -1z = 11 + -1z Combine like terms: z + -1z = 0 3r + 0 = 11 + -1z 3r = 11 + -1z Divide each side by '3'. r = 3.666666667 + -0.3333333333z Simplifying r = 3.666666667 + -0.3333333333z
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