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Simplifying 19 + -1(12 + -6k) = 14 + 7k 19 + (12 * -1 + -6k * -1) = 14 + 7k 19 + (-12 + 6k) = 14 + 7k Combine like terms: 19 + -12 = 7 7 + 6k = 14 + 7k Solving 7 + 6k = 14 + 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. 7 + 6k + -7k = 14 + 7k + -7k Combine like terms: 6k + -7k = -1k 7 + -1k = 14 + 7k + -7k Combine like terms: 7k + -7k = 0 7 + -1k = 14 + 0 7 + -1k = 14 Add '-7' to each side of the equation. 7 + -7 + -1k = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 14 + -7 -1k = 14 + -7 Combine like terms: 14 + -7 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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