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Simplifying r + 3z = 2 + -1r Solving r + 3z = 2 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. r + r + 3z = 2 + -1r + r Combine like terms: r + r = 2r 2r + 3z = 2 + -1r + r Combine like terms: -1r + r = 0 2r + 3z = 2 + 0 2r + 3z = 2 Add '-3z' to each side of the equation. 2r + 3z + -3z = 2 + -3z Combine like terms: 3z + -3z = 0 2r + 0 = 2 + -3z 2r = 2 + -3z Divide each side by '2'. r = 1 + -1.5z Simplifying r = 1 + -1.5z
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