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Simplifying -7 + 8 = 8(1 + -7k) + -3k Combine like terms: -7 + 8 = 1 1 = 8(1 + -7k) + -3k 1 = (1 * 8 + -7k * 8) + -3k 1 = (8 + -56k) + -3k Combine like terms: -56k + -3k = -59k 1 = 8 + -59k Solving 1 = 8 + -59k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '59k' to each side of the equation. 1 + 59k = 8 + -59k + 59k Combine like terms: -59k + 59k = 0 1 + 59k = 8 + 0 1 + 59k = 8 Add '-1' to each side of the equation. 1 + -1 + 59k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 59k = 8 + -1 59k = 8 + -1 Combine like terms: 8 + -1 = 7 59k = 7 Divide each side by '59'. k = 0.1186440678 Simplifying k = 0.1186440678
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