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Simplifying 9 + -1(7k + -2) + 2k = (k + 3) + 5 Reorder the terms: 9 + -1(-2 + 7k) + 2k = (k + 3) + 5 9 + (-2 * -1 + 7k * -1) + 2k = (k + 3) + 5 9 + (2 + -7k) + 2k = (k + 3) + 5 Combine like terms: 9 + 2 = 11 11 + -7k + 2k = (k + 3) + 5 Combine like terms: -7k + 2k = -5k 11 + -5k = (k + 3) + 5 Reorder the terms: 11 + -5k = (3 + k) + 5 Remove parenthesis around (3 + k) 11 + -5k = 3 + k + 5 Reorder the terms: 11 + -5k = 3 + 5 + k Combine like terms: 3 + 5 = 8 11 + -5k = 8 + k Solving 11 + -5k = 8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 11 + -5k + -1k = 8 + k + -1k Combine like terms: -5k + -1k = -6k 11 + -6k = 8 + k + -1k Combine like terms: k + -1k = 0 11 + -6k = 8 + 0 11 + -6k = 8 Add '-11' to each side of the equation. 11 + -11 + -6k = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -6k = 8 + -11 -6k = 8 + -11 Combine like terms: 8 + -11 = -3 -6k = -3 Divide each side by '-6'. k = 0.5 Simplifying k = 0.5
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