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Simplifying (22r + 3s + -8) + -1(6 + -9s + -8r) = 0 Reorder the terms: (-8 + 22r + 3s) + -1(6 + -9s + -8r) = 0 Remove parenthesis around (-8 + 22r + 3s) -8 + 22r + 3s + -1(6 + -9s + -8r) = 0 Reorder the terms: -8 + 22r + 3s + -1(6 + -8r + -9s) = 0 -8 + 22r + 3s + (6 * -1 + -8r * -1 + -9s * -1) = 0 -8 + 22r + 3s + (-6 + 8r + 9s) = 0 Reorder the terms: -8 + -6 + 22r + 8r + 3s + 9s = 0 Combine like terms: -8 + -6 = -14 -14 + 22r + 8r + 3s + 9s = 0 Combine like terms: 22r + 8r = 30r -14 + 30r + 3s + 9s = 0 Combine like terms: 3s + 9s = 12s -14 + 30r + 12s = 0 Solving -14 + 30r + 12s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 30r + 14 + 12s = 0 + 14 Reorder the terms: -14 + 14 + 30r + 12s = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 30r + 12s = 0 + 14 30r + 12s = 0 + 14 Combine like terms: 0 + 14 = 14 30r + 12s = 14 Add '-12s' to each side of the equation. 30r + 12s + -12s = 14 + -12s Combine like terms: 12s + -12s = 0 30r + 0 = 14 + -12s 30r = 14 + -12s Divide each side by '30'. r = 0.4666666667 + -0.4s Simplifying r = 0.4666666667 + -0.4s
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