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Simplifying (3 + -1r) + (4r + -3s + 2) + -1(1 + -1s) = 0 Remove parenthesis around (3 + -1r) 3 + -1r + (4r + -3s + 2) + -1(1 + -1s) = 0 Reorder the terms: 3 + -1r + (2 + 4r + -3s) + -1(1 + -1s) = 0 Remove parenthesis around (2 + 4r + -3s) 3 + -1r + 2 + 4r + -3s + -1(1 + -1s) = 0 3 + -1r + 2 + 4r + -3s + (1 * -1 + -1s * -1) = 0 3 + -1r + 2 + 4r + -3s + (-1 + 1s) = 0 Reorder the terms: 3 + 2 + -1 + -1r + 4r + -3s + 1s = 0 Combine like terms: 3 + 2 = 5 5 + -1 + -1r + 4r + -3s + 1s = 0 Combine like terms: 5 + -1 = 4 4 + -1r + 4r + -3s + 1s = 0 Combine like terms: -1r + 4r = 3r 4 + 3r + -3s + 1s = 0 Combine like terms: -3s + 1s = -2s 4 + 3r + -2s = 0 Solving 4 + 3r + -2s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3r + -4 + -2s = 0 + -4 Reorder the terms: 4 + -4 + 3r + -2s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3r + -2s = 0 + -4 3r + -2s = 0 + -4 Combine like terms: 0 + -4 = -4 3r + -2s = -4 Add '2s' to each side of the equation. 3r + -2s + 2s = -4 + 2s Combine like terms: -2s + 2s = 0 3r + 0 = -4 + 2s 3r = -4 + 2s Divide each side by '3'. r = -1.333333333 + 0.6666666667s Simplifying r = -1.333333333 + 0.6666666667s
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