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