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Simplifying -105 = 7k + 7(1 + k) -105 = 7k + (1 * 7 + k * 7) -105 = 7k + (7 + 7k) Reorder the terms: -105 = 7 + 7k + 7k Combine like terms: 7k + 7k = 14k -105 = 7 + 14k Solving -105 = 7 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -105 + -14k = 7 + 14k + -14k Combine like terms: 14k + -14k = 0 -105 + -14k = 7 + 0 -105 + -14k = 7 Add '105' to each side of the equation. -105 + 105 + -14k = 7 + 105 Combine like terms: -105 + 105 = 0 0 + -14k = 7 + 105 -14k = 7 + 105 Combine like terms: 7 + 105 = 112 -14k = 112 Divide each side by '-14'. k = -8 Simplifying k = -8
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