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Simplifying 8(4k + 9) = -29 + 7k Reorder the terms: 8(9 + 4k) = -29 + 7k (9 * 8 + 4k * 8) = -29 + 7k (72 + 32k) = -29 + 7k Solving 72 + 32k = -29 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 72 + 32k + -7k = -29 + 7k + -7k Combine like terms: 32k + -7k = 25k 72 + 25k = -29 + 7k + -7k Combine like terms: 7k + -7k = 0 72 + 25k = -29 + 0 72 + 25k = -29 Add '-72' to each side of the equation. 72 + -72 + 25k = -29 + -72 Combine like terms: 72 + -72 = 0 0 + 25k = -29 + -72 25k = -29 + -72 Combine like terms: -29 + -72 = -101 25k = -101 Divide each side by '25'. k = -4.04 Simplifying k = -4.04
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