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Simplifying 2(k + 4) + -1(n + 7) = 11 Reorder the terms: 2(4 + k) + -1(n + 7) = 11 (4 * 2 + k * 2) + -1(n + 7) = 11 (8 + 2k) + -1(n + 7) = 11 Reorder the terms: 8 + 2k + -1(7 + n) = 11 8 + 2k + (7 * -1 + n * -1) = 11 8 + 2k + (-7 + -1n) = 11 Reorder the terms: 8 + -7 + 2k + -1n = 11 Combine like terms: 8 + -7 = 1 1 + 2k + -1n = 11 Solving 1 + 2k + -1n = 11 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2k + -1 + -1n = 11 + -1 Reorder the terms: 1 + -1 + 2k + -1n = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2k + -1n = 11 + -1 2k + -1n = 11 + -1 Combine like terms: 11 + -1 = 10 2k + -1n = 10 Add 'n' to each side of the equation. 2k + -1n + n = 10 + n Combine like terms: -1n + n = 0 2k + 0 = 10 + n 2k = 10 + n Divide each side by '2'. k = 5 + 0.5n Simplifying k = 5 + 0.5n
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