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Simplifying 4k + -7(8k + -9) = 4 + 7k Reorder the terms: 4k + -7(-9 + 8k) = 4 + 7k 4k + (-9 * -7 + 8k * -7) = 4 + 7k 4k + (63 + -56k) = 4 + 7k Reorder the terms: 63 + 4k + -56k = 4 + 7k Combine like terms: 4k + -56k = -52k 63 + -52k = 4 + 7k Solving 63 + -52k = 4 + 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. 63 + -52k + -7k = 4 + 7k + -7k Combine like terms: -52k + -7k = -59k 63 + -59k = 4 + 7k + -7k Combine like terms: 7k + -7k = 0 63 + -59k = 4 + 0 63 + -59k = 4 Add '-63' to each side of the equation. 63 + -63 + -59k = 4 + -63 Combine like terms: 63 + -63 = 0 0 + -59k = 4 + -63 -59k = 4 + -63 Combine like terms: 4 + -63 = -59 -59k = -59 Divide each side by '-59'. k = 1 Simplifying k = 1
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