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Simplifying 105 = -7(7 + 2k) 105 = (7 * -7 + 2k * -7) 105 = (-49 + -14k) Solving 105 = -49 + -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 = -49 + -14k + 14k Combine like terms: -14k + 14k = 0 105 + 14k = -49 + 0 105 + 14k = -49 Add '-105' to each side of the equation. 105 + -105 + 14k = -49 + -105 Combine like terms: 105 + -105 = 0 0 + 14k = -49 + -105 14k = -49 + -105 Combine like terms: -49 + -105 = -154 14k = -154 Divide each side by '14'. k = -11 Simplifying k = -11
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