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Simplifying 161 = -7(8k + 1) Reorder the terms: 161 = -7(1 + 8k) 161 = (1 * -7 + 8k * -7) 161 = (-7 + -56k) Solving 161 = -7 + -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. 161 + 56k = -7 + -56k + 56k Combine like terms: -56k + 56k = 0 161 + 56k = -7 + 0 161 + 56k = -7 Add '-161' to each side of the equation. 161 + -161 + 56k = -7 + -161 Combine like terms: 161 + -161 = 0 0 + 56k = -7 + -161 56k = -7 + -161 Combine like terms: -7 + -161 = -168 56k = -168 Divide each side by '56'. k = -3 Simplifying k = -3
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