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Simplifying 8(9 + -2k) = 9(1 + -1k) (9 * 8 + -2k * 8) = 9(1 + -1k) (72 + -16k) = 9(1 + -1k) 72 + -16k = (1 * 9 + -1k * 9) 72 + -16k = (9 + -9k) Solving 72 + -16k = 9 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 72 + -16k + 9k = 9 + -9k + 9k Combine like terms: -16k + 9k = -7k 72 + -7k = 9 + -9k + 9k Combine like terms: -9k + 9k = 0 72 + -7k = 9 + 0 72 + -7k = 9 Add '-72' to each side of the equation. 72 + -72 + -7k = 9 + -72 Combine like terms: 72 + -72 = 0 0 + -7k = 9 + -72 -7k = 9 + -72 Combine like terms: 9 + -72 = -63 -7k = -63 Divide each side by '-7'. k = 9 Simplifying k = 9
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