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Simplifying 1 = -8k + 1 + -7k Reorder the terms: 1 = 1 + -8k + -7k Combine like terms: -8k + -7k = -15k 1 = 1 + -15k Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + -15k Combine like terms: 1 + -1 = 0 0 = 1 + -1 + -15k Combine like terms: 1 + -1 = 0 0 = 0 + -15k 0 = -15k Solving 0 = -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 0 + 15k = -15k + 15k Remove the zero: 15k = -15k + 15k Combine like terms: -15k + 15k = 0 15k = 0 Divide each side by '15'. k = 0 Simplifying k = 0
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