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Simplifying 4 + -7k = -8 + -5k Solving 4 + -7k = -8 + -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. 4 + -7k + 5k = -8 + -5k + 5k Combine like terms: -7k + 5k = -2k 4 + -2k = -8 + -5k + 5k Combine like terms: -5k + 5k = 0 4 + -2k = -8 + 0 4 + -2k = -8 Add '-4' to each side of the equation. 4 + -4 + -2k = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = -8 + -4 -2k = -8 + -4 Combine like terms: -8 + -4 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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