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Simplifying -2(k + -3) + -5(k + -2) = 4 + -10K + 12 Reorder the terms: -2(-3 + k) + -5(k + -2) = 4 + -10K + 12 (-3 * -2 + k * -2) + -5(k + -2) = 4 + -10K + 12 (6 + -2k) + -5(k + -2) = 4 + -10K + 12 Reorder the terms: 6 + -2k + -5(-2 + k) = 4 + -10K + 12 6 + -2k + (-2 * -5 + k * -5) = 4 + -10K + 12 6 + -2k + (10 + -5k) = 4 + -10K + 12 Reorder the terms: 6 + 10 + -2k + -5k = 4 + -10K + 12 Combine like terms: 6 + 10 = 16 16 + -2k + -5k = 4 + -10K + 12 Combine like terms: -2k + -5k = -7k 16 + -7k = 4 + -10K + 12 Reorder the terms: 16 + -7k = 4 + 12 + -10K Combine like terms: 4 + 12 = 16 16 + -7k = 16 + -10K Add '-16' to each side of the equation. 16 + -16 + -7k = 16 + -16 + -10K Combine like terms: 16 + -16 = 0 0 + -7k = 16 + -16 + -10K -7k = 16 + -16 + -10K Combine like terms: 16 + -16 = 0 -7k = 0 + -10K -7k = -10K Solving -7k = -10K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-7'. k = 1.428571429K Simplifying k = 1.428571429K
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