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Simplifying 3r + 2s + -1r + 5 = 0 Reorder the terms: 5 + 3r + -1r + 2s = 0 Combine like terms: 3r + -1r = 2r 5 + 2r + 2s = 0 Solving 5 + 2r + 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 + 2r + -5 + 2s = 0 + -5 Reorder the terms: 5 + -5 + 2r + 2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2r + 2s = 0 + -5 2r + 2s = 0 + -5 Combine like terms: 0 + -5 = -5 2r + 2s = -5 Add '-2s' to each side of the equation. 2r + 2s + -2s = -5 + -2s Combine like terms: 2s + -2s = 0 2r + 0 = -5 + -2s 2r = -5 + -2s Divide each side by '2'. r = -2.5 + -1s Simplifying r = -2.5 + -1s
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