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Simplifying 7 = 1 + -5k + 6 Reorder the terms: 7 = 1 + 6 + -5k Combine like terms: 1 + 6 = 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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