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Simplifying 2(k + -4) + -1(-6k + -9) = 7k Reorder the terms: 2(-4 + k) + -1(-6k + -9) = 7k (-4 * 2 + k * 2) + -1(-6k + -9) = 7k (-8 + 2k) + -1(-6k + -9) = 7k Reorder the terms: -8 + 2k + -1(-9 + -6k) = 7k -8 + 2k + (-9 * -1 + -6k * -1) = 7k -8 + 2k + (9 + 6k) = 7k Reorder the terms: -8 + 9 + 2k + 6k = 7k Combine like terms: -8 + 9 = 1 1 + 2k + 6k = 7k Combine like terms: 2k + 6k = 8k 1 + 8k = 7k Solving 1 + 8k = 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. 1 + 8k + -7k = 7k + -7k Combine like terms: 8k + -7k = 1k 1 + 1k = 7k + -7k Combine like terms: 7k + -7k = 0 1 + 1k = 0 Add '-1' to each side of the equation. 1 + -1 + 1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = 0 + -1 1k = 0 + -1 Combine like terms: 0 + -1 = -1 1k = -1 Divide each side by '1'. k = -1 Simplifying k = -1
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