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Simplifying -7(k + 6) + 2 = -89 Reorder the terms: -7(6 + k) + 2 = -89 (6 * -7 + k * -7) + 2 = -89 (-42 + -7k) + 2 = -89 Reorder the terms: -42 + 2 + -7k = -89 Combine like terms: -42 + 2 = -40 -40 + -7k = -89 Solving -40 + -7k = -89 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -7k = -89 + 40 Combine like terms: -40 + 40 = 0 0 + -7k = -89 + 40 -7k = -89 + 40 Combine like terms: -89 + 40 = -49 -7k = -49 Divide each side by '-7'. k = 7 Simplifying k = 7
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