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Simplifying 15k + -1 = 7k + 78 Reorder the terms: -1 + 15k = 7k + 78 Reorder the terms: -1 + 15k = 78 + 7k Solving -1 + 15k = 78 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -1 + 15k + -7k = 78 + 7k + -7k Combine like terms: 15k + -7k = 8k -1 + 8k = 78 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + 8k = 78 + 0 -1 + 8k = 78 Add '1' to each side of the equation. -1 + 1 + 8k = 78 + 1 Combine like terms: -1 + 1 = 0 0 + 8k = 78 + 1 8k = 78 + 1 Combine like terms: 78 + 1 = 79 8k = 79 Divide each side by '8'. k = 9.875 Simplifying k = 9.875
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