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Simplifying -5k = 2(k + -8) Reorder the terms: -5k = 2(-8 + k) -5k = (-8 * 2 + k * 2) -5k = (-16 + 2k) Solving -5k = -16 + 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. -5k + -2k = -16 + 2k + -2k Combine like terms: -5k + -2k = -7k -7k = -16 + 2k + -2k Combine like terms: 2k + -2k = 0 -7k = -16 + 0 -7k = -16 Divide each side by '-7'. k = 2.285714286 Simplifying k = 2.285714286
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