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Simplifying (22r + 3s + -8) + -1(8r + -9s + -6) = 0 Reorder the terms: (-8 + 22r + 3s) + -1(8r + -9s + -6) = 0 Remove parenthesis around (-8 + 22r + 3s) -8 + 22r + 3s + -1(8r + -9s + -6) = 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 = -2 -2 + 22r + -8r + 3s + 9s = 0 Combine like terms: 22r + -8r = 14r -2 + 14r + 3s + 9s = 0 Combine like terms: 3s + 9s = 12s -2 + 14r + 12s = 0 Solving -2 + 14r + 12s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 14r + 2 + 12s = 0 + 2 Reorder the terms: -2 + 2 + 14r + 12s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14r + 12s = 0 + 2 14r + 12s = 0 + 2 Combine like terms: 0 + 2 = 2 14r + 12s = 2 Add '-12s' to each side of the equation. 14r + 12s + -12s = 2 + -12s Combine like terms: 12s + -12s = 0 14r + 0 = 2 + -12s 14r = 2 + -12s Divide each side by '14'. r = 0.1428571429 + -0.8571428571s Simplifying r = 0.1428571429 + -0.8571428571s
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