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Simplifying -156 = 8k + -7(7k + -7) Reorder the terms: -156 = 8k + -7(-7 + 7k) -156 = 8k + (-7 * -7 + 7k * -7) -156 = 8k + (49 + -49k) Reorder the terms: -156 = 49 + 8k + -49k Combine like terms: 8k + -49k = -41k -156 = 49 + -41k Solving -156 = 49 + -41k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '41k' to each side of the equation. -156 + 41k = 49 + -41k + 41k Combine like terms: -41k + 41k = 0 -156 + 41k = 49 + 0 -156 + 41k = 49 Add '156' to each side of the equation. -156 + 156 + 41k = 49 + 156 Combine like terms: -156 + 156 = 0 0 + 41k = 49 + 156 41k = 49 + 156 Combine like terms: 49 + 156 = 205 41k = 205 Divide each side by '41'. k = 5 Simplifying k = 5
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