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Simplifying 22 + 11t + 7k + -4t + -2k + -2 = 0 Reorder the terms: 22 + -2 + 7k + -2k + 11t + -4t = 0 Combine like terms: 22 + -2 = 20 20 + 7k + -2k + 11t + -4t = 0 Combine like terms: 7k + -2k = 5k 20 + 5k + 11t + -4t = 0 Combine like terms: 11t + -4t = 7t 20 + 5k + 7t = 0 Solving 20 + 5k + 7t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5k + -20 + 7t = 0 + -20 Reorder the terms: 20 + -20 + 5k + 7t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5k + 7t = 0 + -20 5k + 7t = 0 + -20 Combine like terms: 0 + -20 = -20 5k + 7t = -20 Add '-7t' to each side of the equation. 5k + 7t + -7t = -20 + -7t Combine like terms: 7t + -7t = 0 5k + 0 = -20 + -7t 5k = -20 + -7t Divide each side by '5'. k = -4 + -1.4t Simplifying k = -4 + -1.4t
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