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Simplifying 3r + -1z = -2(r + z) 3r + -1z = (r * -2 + z * -2) 3r + -1z = (-2r + -2z) Solving 3r + -1z = -2r + -2z 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. 3r + 2r + -1z = -2r + 2r + -2z Combine like terms: 3r + 2r = 5r 5r + -1z = -2r + 2r + -2z Combine like terms: -2r + 2r = 0 5r + -1z = 0 + -2z 5r + -1z = -2z Add 'z' to each side of the equation. 5r + -1z + z = -2z + z Combine like terms: -1z + z = 0 5r + 0 = -2z + z 5r = -2z + z Combine like terms: -2z + z = -1z 5r = -1z Divide each side by '5'. r = -0.2z Simplifying r = -0.2z
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