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Simplifying 2(11 + -1k) + 7 = -7(k + -4) + -2 (11 * 2 + -1k * 2) + 7 = -7(k + -4) + -2 (22 + -2k) + 7 = -7(k + -4) + -2 Reorder the terms: 22 + 7 + -2k = -7(k + -4) + -2 Combine like terms: 22 + 7 = 29 29 + -2k = -7(k + -4) + -2 Reorder the terms: 29 + -2k = -7(-4 + k) + -2 29 + -2k = (-4 * -7 + k * -7) + -2 29 + -2k = (28 + -7k) + -2 Reorder the terms: 29 + -2k = 28 + -2 + -7k Combine like terms: 28 + -2 = 26 29 + -2k = 26 + -7k Solving 29 + -2k = 26 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 29 + -2k + 7k = 26 + -7k + 7k Combine like terms: -2k + 7k = 5k 29 + 5k = 26 + -7k + 7k Combine like terms: -7k + 7k = 0 29 + 5k = 26 + 0 29 + 5k = 26 Add '-29' to each side of the equation. 29 + -29 + 5k = 26 + -29 Combine like terms: 29 + -29 = 0 0 + 5k = 26 + -29 5k = 26 + -29 Combine like terms: 26 + -29 = -3 5k = -3 Divide each side by '5'. k = -0.6 Simplifying k = -0.6
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