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Simplifying -11 + 7t + 8k + -2t + -5k + -3 = 0 Reorder the terms: -11 + -3 + 8k + -5k + 7t + -2t = 0 Combine like terms: -11 + -3 = -14 -14 + 8k + -5k + 7t + -2t = 0 Combine like terms: 8k + -5k = 3k -14 + 3k + 7t + -2t = 0 Combine like terms: 7t + -2t = 5t -14 + 3k + 5t = 0 Solving -14 + 3k + 5t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3k + 14 + 5t = 0 + 14 Reorder the terms: -14 + 14 + 3k + 5t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3k + 5t = 0 + 14 3k + 5t = 0 + 14 Combine like terms: 0 + 14 = 14 3k + 5t = 14 Add '-5t' to each side of the equation. 3k + 5t + -5t = 14 + -5t Combine like terms: 5t + -5t = 0 3k + 0 = 14 + -5t 3k = 14 + -5t Divide each side by '3'. k = 4.666666667 + -1.666666667t Simplifying k = 4.666666667 + -1.666666667t
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