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Simplifying 5 + -1r + -1s + 4 + 2r + 3s = 0 Reorder the terms: 5 + 4 + -1r + 2r + -1s + 3s = 0 Combine like terms: 5 + 4 = 9 9 + -1r + 2r + -1s + 3s = 0 Combine like terms: -1r + 2r = 1r 9 + 1r + -1s + 3s = 0 Combine like terms: -1s + 3s = 2s 9 + 1r + 2s = 0 Solving 9 + 1r + 2s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 1r + -9 + 2s = 0 + -9 Reorder the terms: 9 + -9 + 1r + 2s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1r + 2s = 0 + -9 1r + 2s = 0 + -9 Combine like terms: 0 + -9 = -9 1r + 2s = -9 Add '-2s' to each side of the equation. 1r + 2s + -2s = -9 + -2s Combine like terms: 2s + -2s = 0 1r + 0 = -9 + -2s 1r = -9 + -2s Divide each side by '1'. r = -9 + -2s Simplifying r = -9 + -2s
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