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Simplifying 2(-7k + 6) = -16 + -7k Reorder the terms: 2(6 + -7k) = -16 + -7k (6 * 2 + -7k * 2) = -16 + -7k (12 + -14k) = -16 + -7k Solving 12 + -14k = -16 + -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. 12 + -14k + 7k = -16 + -7k + 7k Combine like terms: -14k + 7k = -7k 12 + -7k = -16 + -7k + 7k Combine like terms: -7k + 7k = 0 12 + -7k = -16 + 0 12 + -7k = -16 Add '-12' to each side of the equation. 12 + -12 + -7k = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -7k = -16 + -12 -7k = -16 + -12 Combine like terms: -16 + -12 = -28 -7k = -28 Divide each side by '-7'. k = 4 Simplifying k = 4
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