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Simplifying (r + -4s + 5) + (5r + s) + (s + -2) = 0 Reorder the terms: (5 + r + -4s) + (5r + s) + (s + -2) = 0 Remove parenthesis around (5 + r + -4s) 5 + r + -4s + (5r + s) + (s + -2) = 0 Remove parenthesis around (5r + s) 5 + r + -4s + 5r + s + (s + -2) = 0 Reorder the terms: 5 + r + -4s + 5r + s + (-2 + s) = 0 Remove parenthesis around (-2 + s) 5 + r + -4s + 5r + s + -2 + s = 0 Reorder the terms: 5 + -2 + r + 5r + -4s + s + s = 0 Combine like terms: 5 + -2 = 3 3 + r + 5r + -4s + s + s = 0 Combine like terms: r + 5r = 6r 3 + 6r + -4s + s + s = 0 Combine like terms: -4s + s = -3s 3 + 6r + -3s + s = 0 Combine like terms: -3s + s = -2s 3 + 6r + -2s = 0 Solving 3 + 6r + -2s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6r + -3 + -2s = 0 + -3 Reorder the terms: 3 + -3 + 6r + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6r + -2s = 0 + -3 6r + -2s = 0 + -3 Combine like terms: 0 + -3 = -3 6r + -2s = -3 Add '2s' to each side of the equation. 6r + -2s + 2s = -3 + 2s Combine like terms: -2s + 2s = 0 6r + 0 = -3 + 2s 6r = -3 + 2s Divide each side by '6'. r = -0.5 + 0.3333333333s Simplifying r = -0.5 + 0.3333333333s
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