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Simplifying 3(4k + -9) + -2(4k + -2) + -11k = 0 Reorder the terms: 3(-9 + 4k) + -2(4k + -2) + -11k = 0 (-9 * 3 + 4k * 3) + -2(4k + -2) + -11k = 0 (-27 + 12k) + -2(4k + -2) + -11k = 0 Reorder the terms: -27 + 12k + -2(-2 + 4k) + -11k = 0 -27 + 12k + (-2 * -2 + 4k * -2) + -11k = 0 -27 + 12k + (4 + -8k) + -11k = 0 Reorder the terms: -27 + 4 + 12k + -8k + -11k = 0 Combine like terms: -27 + 4 = -23 -23 + 12k + -8k + -11k = 0 Combine like terms: 12k + -8k = 4k -23 + 4k + -11k = 0 Combine like terms: 4k + -11k = -7k -23 + -7k = 0 Solving -23 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -7k = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -7k = 0 + 23 -7k = 0 + 23 Combine like terms: 0 + 23 = 23 -7k = 23 Divide each side by '-7'. k = -3.285714286 Simplifying k = -3.285714286
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