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Simplifying 7k + -1(3k + 2) = 6k + -14 Reorder the terms: 7k + -1(2 + 3k) = 6k + -14 7k + (2 * -1 + 3k * -1) = 6k + -14 7k + (-2 + -3k) = 6k + -14 Reorder the terms: -2 + 7k + -3k = 6k + -14 Combine like terms: 7k + -3k = 4k -2 + 4k = 6k + -14 Reorder the terms: -2 + 4k = -14 + 6k Solving -2 + 4k = -14 + 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. -2 + 4k + -6k = -14 + 6k + -6k Combine like terms: 4k + -6k = -2k -2 + -2k = -14 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + -2k = -14 + 0 -2 + -2k = -14 Add '2' to each side of the equation. -2 + 2 + -2k = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = -14 + 2 -2k = -14 + 2 Combine like terms: -14 + 2 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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