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Simplifying 161 = -7(1 + -3k) 161 = (1 * -7 + -3k * -7) 161 = (-7 + 21k) Solving 161 = -7 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 161 + -21k = -7 + 21k + -21k Combine like terms: 21k + -21k = 0 161 + -21k = -7 + 0 161 + -21k = -7 Add '-161' to each side of the equation. 161 + -161 + -21k = -7 + -161 Combine like terms: 161 + -161 = 0 0 + -21k = -7 + -161 -21k = -7 + -161 Combine like terms: -7 + -161 = -168 -21k = -168 Divide each side by '-21'. k = 8 Simplifying k = 8
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