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Simplifying k + -8(7 + k) = -1(5) k + (7 * -8 + k * -8) = -1(5) k + (-56 + -8k) = -1(5) Reorder the terms: -56 + k + -8k = -1(5) Combine like terms: k + -8k = -7k -56 + -7k = -1(5) Multiply -1 * 5 -56 + -7k = -5 Solving -56 + -7k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -7k = -5 + 56 Combine like terms: -56 + 56 = 0 0 + -7k = -5 + 56 -7k = -5 + 56 Combine like terms: -5 + 56 = 51 -7k = 51 Divide each side by '-7'. k = -7.285714286 Simplifying k = -7.285714286
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