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Simplifying -4(1 + -7k) = 164 (1 * -4 + -7k * -4) = 164 (-4 + 28k) = 164 Solving -4 + 28k = 164 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 28k = 164 + 4 Combine like terms: -4 + 4 = 0 0 + 28k = 164 + 4 28k = 164 + 4 Combine like terms: 164 + 4 = 168 28k = 168 Divide each side by '28'. k = 6 Simplifying k = 6
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