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Simplifying -22 + 6t + 14k + -4t + -4k + -16 = 0 Reorder the terms: -22 + -16 + 14k + -4k + 6t + -4t = 0 Combine like terms: -22 + -16 = -38 -38 + 14k + -4k + 6t + -4t = 0 Combine like terms: 14k + -4k = 10k -38 + 10k + 6t + -4t = 0 Combine like terms: 6t + -4t = 2t -38 + 10k + 2t = 0 Solving -38 + 10k + 2t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 10k + 38 + 2t = 0 + 38 Reorder the terms: -38 + 38 + 10k + 2t = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 10k + 2t = 0 + 38 10k + 2t = 0 + 38 Combine like terms: 0 + 38 = 38 10k + 2t = 38 Add '-2t' to each side of the equation. 10k + 2t + -2t = 38 + -2t Combine like terms: 2t + -2t = 0 10k + 0 = 38 + -2t 10k = 38 + -2t Divide each side by '10'. k = 3.8 + -0.2t Simplifying k = 3.8 + -0.2t
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