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Simplifying -1k + -7 = 5k + -6 Reorder the terms: -7 + -1k = 5k + -6 Reorder the terms: -7 + -1k = -6 + 5k Solving -7 + -1k = -6 + 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. -7 + -1k + -5k = -6 + 5k + -5k Combine like terms: -1k + -5k = -6k -7 + -6k = -6 + 5k + -5k Combine like terms: 5k + -5k = 0 -7 + -6k = -6 + 0 -7 + -6k = -6 Add '7' to each side of the equation. -7 + 7 + -6k = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -6k = -6 + 7 -6k = -6 + 7 Combine like terms: -6 + 7 = 1 -6k = 1 Divide each side by '-6'. k = -0.1666666667 Simplifying k = -0.1666666667
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