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Simplifying 9 + -1(7k + -2) + 2k = 4(k + 3) + 5 Reorder the terms: 9 + -1(-2 + 7k) + 2k = 4(k + 3) + 5 9 + (-2 * -1 + 7k * -1) + 2k = 4(k + 3) + 5 9 + (2 + -7k) + 2k = 4(k + 3) + 5 Combine like terms: 9 + 2 = 11 11 + -7k + 2k = 4(k + 3) + 5 Combine like terms: -7k + 2k = -5k 11 + -5k = 4(k + 3) + 5 Reorder the terms: 11 + -5k = 4(3 + k) + 5 11 + -5k = (3 * 4 + k * 4) + 5 11 + -5k = (12 + 4k) + 5 Reorder the terms: 11 + -5k = 12 + 5 + 4k Combine like terms: 12 + 5 = 17 11 + -5k = 17 + 4k Solving 11 + -5k = 17 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 11 + -5k + -4k = 17 + 4k + -4k Combine like terms: -5k + -4k = -9k 11 + -9k = 17 + 4k + -4k Combine like terms: 4k + -4k = 0 11 + -9k = 17 + 0 11 + -9k = 17 Add '-11' to each side of the equation. 11 + -11 + -9k = 17 + -11 Combine like terms: 11 + -11 = 0 0 + -9k = 17 + -11 -9k = 17 + -11 Combine like terms: 17 + -11 = 6 -9k = 6 Divide each side by '-9'. k = -0.6666666667 Simplifying k = -0.6666666667
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