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Simplifying -105 = -7(7 + k) -105 = (7 * -7 + k * -7) -105 = (-49 + -7k) Solving -105 = -49 + -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. -105 + 7k = -49 + -7k + 7k Combine like terms: -7k + 7k = 0 -105 + 7k = -49 + 0 -105 + 7k = -49 Add '105' to each side of the equation. -105 + 105 + 7k = -49 + 105 Combine like terms: -105 + 105 = 0 0 + 7k = -49 + 105 7k = -49 + 105 Combine like terms: -49 + 105 = 56 7k = 56 Divide each side by '7'. k = 8 Simplifying k = 8
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