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Simplifying 164 = -4(-8 + 7k) 164 = (-8 * -4 + 7k * -4) 164 = (32 + -28k) Solving 164 = 32 + -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 = 32 + -28k + 28k Combine like terms: -28k + 28k = 0 164 + 28k = 32 + 0 164 + 28k = 32 Add '-164' to each side of the equation. 164 + -164 + 28k = 32 + -164 Combine like terms: 164 + -164 = 0 0 + 28k = 32 + -164 28k = 32 + -164 Combine like terms: 32 + -164 = -132 28k = -132 Divide each side by '28'. k = -4.714285714 Simplifying k = -4.714285714
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