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Simplifying (3 + -1r) + (4r + -3s + 2) + -1(1s) = 0 Remove parenthesis around (3 + -1r) 3 + -1r + (4r + -3s + 2) + -1(1s) = 0 Reorder the terms: 3 + -1r + (2 + 4r + -3s) + -1(1s) = 0 Remove parenthesis around (2 + 4r + -3s) 3 + -1r + 2 + 4r + -3s + -1(1s) = 0 Remove parenthesis around (1s) 3 + -1r + 2 + 4r + -3s + -1 * 1s = 0 Multiply -1 * 1 3 + -1r + 2 + 4r + -3s + -1s = 0 Reorder the terms: 3 + 2 + -1r + 4r + -3s + -1s = 0 Combine like terms: 3 + 2 = 5 5 + -1r + 4r + -3s + -1s = 0 Combine like terms: -1r + 4r = 3r 5 + 3r + -3s + -1s = 0 Combine like terms: -3s + -1s = -4s 5 + 3r + -4s = 0 Solving 5 + 3r + -4s = 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 + 3r + -5 + -4s = 0 + -5 Reorder the terms: 5 + -5 + 3r + -4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r + -4s = 0 + -5 3r + -4s = 0 + -5 Combine like terms: 0 + -5 = -5 3r + -4s = -5 Add '4s' to each side of the equation. 3r + -4s + 4s = -5 + 4s Combine like terms: -4s + 4s = 0 3r + 0 = -5 + 4s 3r = -5 + 4s Divide each side by '3'. r = -1.666666667 + 1.333333333s Simplifying r = -1.666666667 + 1.333333333s
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