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Simplifying -7(1 + -3k) + k = -161 (1 * -7 + -3k * -7) + k = -161 (-7 + 21k) + k = -161 Combine like terms: 21k + k = 22k -7 + 22k = -161 Solving -7 + 22k = -161 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 22k = -161 + 7 Combine like terms: -7 + 7 = 0 0 + 22k = -161 + 7 22k = -161 + 7 Combine like terms: -161 + 7 = -154 22k = -154 Divide each side by '22'. k = -7 Simplifying k = -7
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