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Simplifying k + -2 * 4k = 7 + -5k Multiply -2 * 4 k + -8k = 7 + -5k Combine like terms: k + -8k = -7k -7k = 7 + -5k Solving -7k = 7 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -7k + 5k = 7 + -5k + 5k Combine like terms: -7k + 5k = -2k -2k = 7 + -5k + 5k Combine like terms: -5k + 5k = 0 -2k = 7 + 0 -2k = 7 Divide each side by '-2'. k = -3.5 Simplifying k = -3.5
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