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Simplifying -3r + -1s + 5 + 5r + 11s + 7 + -6r + -1s = 0 Reorder the terms: 5 + 7 + -3r + 5r + -6r + -1s + 11s + -1s = 0 Combine like terms: 5 + 7 = 12 12 + -3r + 5r + -6r + -1s + 11s + -1s = 0 Combine like terms: -3r + 5r = 2r 12 + 2r + -6r + -1s + 11s + -1s = 0 Combine like terms: 2r + -6r = -4r 12 + -4r + -1s + 11s + -1s = 0 Combine like terms: -1s + 11s = 10s 12 + -4r + 10s + -1s = 0 Combine like terms: 10s + -1s = 9s 12 + -4r + 9s = 0 Solving 12 + -4r + 9s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4r + -12 + 9s = 0 + -12 Reorder the terms: 12 + -12 + -4r + 9s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4r + 9s = 0 + -12 -4r + 9s = 0 + -12 Combine like terms: 0 + -12 = -12 -4r + 9s = -12 Add '-9s' to each side of the equation. -4r + 9s + -9s = -12 + -9s Combine like terms: 9s + -9s = 0 -4r + 0 = -12 + -9s -4r = -12 + -9s Divide each side by '-4'. r = 3 + 2.25s Simplifying r = 3 + 2.25s
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