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Simplifying k + -4 = -6 + 6k + 7 + 5 Reorder the terms: -4 + k = -6 + 6k + 7 + 5 Reorder the terms: -4 + k = -6 + 7 + 5 + 6k Combine like terms: -6 + 7 = 1 -4 + k = 1 + 5 + 6k Combine like terms: 1 + 5 = 6 -4 + k = 6 + 6k Solving -4 + k = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -4 + k + -6k = 6 + 6k + -6k Combine like terms: k + -6k = -5k -4 + -5k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 -4 + -5k = 6 + 0 -4 + -5k = 6 Add '4' to each side of the equation. -4 + 4 + -5k = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5k = 6 + 4 -5k = 6 + 4 Combine like terms: 6 + 4 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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