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