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Simplifying -2k + -5(k + 6) = 0 Reorder the terms: -2k + -5(6 + k) = 0 -2k + (6 * -5 + k * -5) = 0 -2k + (-30 + -5k) = 0 Reorder the terms: -30 + -2k + -5k = 0 Combine like terms: -2k + -5k = -7k -30 + -7k = 0 Solving -30 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -7k = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -7k = 0 + 30 -7k = 0 + 30 Combine like terms: 0 + 30 = 30 -7k = 30 Divide each side by '-7'. k = -4.285714286 Simplifying k = -4.285714286
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