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Simplifying -7k + 8(3k + -7) = -107 Reorder the terms: -7k + 8(-7 + 3k) = -107 -7k + (-7 * 8 + 3k * 8) = -107 -7k + (-56 + 24k) = -107 Reorder the terms: -56 + -7k + 24k = -107 Combine like terms: -7k + 24k = 17k -56 + 17k = -107 Solving -56 + 17k = -107 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 + 17k = -107 + 56 Combine like terms: -56 + 56 = 0 0 + 17k = -107 + 56 17k = -107 + 56 Combine like terms: -107 + 56 = -51 17k = -51 Divide each side by '17'. k = -3 Simplifying k = -3
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