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Simplifying 7(k + -1) + -6 = 6k + -9 Reorder the terms: 7(-1 + k) + -6 = 6k + -9 (-1 * 7 + k * 7) + -6 = 6k + -9 (-7 + 7k) + -6 = 6k + -9 Reorder the terms: -7 + -6 + 7k = 6k + -9 Combine like terms: -7 + -6 = -13 -13 + 7k = 6k + -9 Reorder the terms: -13 + 7k = -9 + 6k Solving -13 + 7k = -9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -13 + 7k + -6k = -9 + 6k + -6k Combine like terms: 7k + -6k = 1k -13 + 1k = -9 + 6k + -6k Combine like terms: 6k + -6k = 0 -13 + 1k = -9 + 0 -13 + 1k = -9 Add '13' to each side of the equation. -13 + 13 + 1k = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 1k = -9 + 13 1k = -9 + 13 Combine like terms: -9 + 13 = 4 1k = 4 Divide each side by '1'. k = 4 Simplifying k = 4
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