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Simplifying (21m + -17k + 8s) + (-12m + -5k + -9s) = 0 Reorder the terms: (-17k + 21m + 8s) + (-12m + -5k + -9s) = 0 Remove parenthesis around (-17k + 21m + 8s) -17k + 21m + 8s + (-12m + -5k + -9s) = 0 Reorder the terms: -17k + 21m + 8s + (-5k + -12m + -9s) = 0 Remove parenthesis around (-5k + -12m + -9s) -17k + 21m + 8s + -5k + -12m + -9s = 0 Reorder the terms: -17k + -5k + 21m + -12m + 8s + -9s = 0 Combine like terms: -17k + -5k = -22k -22k + 21m + -12m + 8s + -9s = 0 Combine like terms: 21m + -12m = 9m -22k + 9m + 8s + -9s = 0 Combine like terms: 8s + -9s = -1s -22k + 9m + -1s = 0 Solving -22k + 9m + -1s = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9m' to each side of the equation. -22k + 9m + -9m + -1s = 0 + -9m Combine like terms: 9m + -9m = 0 -22k + 0 + -1s = 0 + -9m -22k + -1s = 0 + -9m Remove the zero: -22k + -1s = -9m Add 's' to each side of the equation. -22k + -1s + s = -9m + s Combine like terms: -1s + s = 0 -22k + 0 = -9m + s -22k = -9m + s Divide each side by '-22'. k = 0.4090909091m + -0.04545454545s Simplifying k = 0.4090909091m + -0.04545454545s
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