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Simplifying 7 + 3n + -5k + 8n = 4k + 66k + -55n Reorder the terms: 7 + -5k + 3n + 8n = 4k + 66k + -55n Combine like terms: 3n + 8n = 11n 7 + -5k + 11n = 4k + 66k + -55n Combine like terms: 4k + 66k = 70k 7 + -5k + 11n = 70k + -55n Solving 7 + -5k + 11n = 70k + -55n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-70k' to each side of the equation. 7 + -5k + -70k + 11n = 70k + -70k + -55n Combine like terms: -5k + -70k = -75k 7 + -75k + 11n = 70k + -70k + -55n Combine like terms: 70k + -70k = 0 7 + -75k + 11n = 0 + -55n 7 + -75k + 11n = -55n Add '-7' to each side of the equation. 7 + -75k + -7 + 11n = -7 + -55n Reorder the terms: 7 + -7 + -75k + 11n = -7 + -55n Combine like terms: 7 + -7 = 0 0 + -75k + 11n = -7 + -55n -75k + 11n = -7 + -55n Add '-11n' to each side of the equation. -75k + 11n + -11n = -7 + -55n + -11n Combine like terms: 11n + -11n = 0 -75k + 0 = -7 + -55n + -11n -75k = -7 + -55n + -11n Combine like terms: -55n + -11n = -66n -75k = -7 + -66n Divide each side by '-75'. k = 0.09333333333 + 0.88n Simplifying k = 0.09333333333 + 0.88n
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