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Simplifying 5 + 2r + 2(r + s) = 0 5 + 2r + (r * 2 + s * 2) = 0 5 + 2r + (2r + 2s) = 0 Combine like terms: 2r + 2r = 4r 5 + 4r + 2s = 0 Solving 5 + 4r + 2s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4r + -5 + 2s = 0 + -5 Reorder the terms: 5 + -5 + 4r + 2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4r + 2s = 0 + -5 4r + 2s = 0 + -5 Combine like terms: 0 + -5 = -5 4r + 2s = -5 Add '-2s' to each side of the equation. 4r + 2s + -2s = -5 + -2s Combine like terms: 2s + -2s = 0 4r + 0 = -5 + -2s 4r = -5 + -2s Divide each side by '4'. r = -1.25 + -0.5s Simplifying r = -1.25 + -0.5s
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