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Simplifying 9(k + -1) = 6k + -12 + -4k Reorder the terms: 9(-1 + k) = 6k + -12 + -4k (-1 * 9 + k * 9) = 6k + -12 + -4k (-9 + 9k) = 6k + -12 + -4k Reorder the terms: -9 + 9k = -12 + 6k + -4k Combine like terms: 6k + -4k = 2k -9 + 9k = -12 + 2k Solving -9 + 9k = -12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -9 + 9k + -2k = -12 + 2k + -2k Combine like terms: 9k + -2k = 7k -9 + 7k = -12 + 2k + -2k Combine like terms: 2k + -2k = 0 -9 + 7k = -12 + 0 -9 + 7k = -12 Add '9' to each side of the equation. -9 + 9 + 7k = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 7k = -12 + 9 7k = -12 + 9 Combine like terms: -12 + 9 = -3 7k = -3 Divide each side by '7'. k = -0.4285714286 Simplifying k = -0.4285714286
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