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Simplifying 7(2k + 1) = -105 Reorder the terms: 7(1 + 2k) = -105 (1 * 7 + 2k * 7) = -105 (7 + 14k) = -105 Solving 7 + 14k = -105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14k = -105 + -7 Combine like terms: 7 + -7 = 0 0 + 14k = -105 + -7 14k = -105 + -7 Combine like terms: -105 + -7 = -112 14k = -112 Divide each side by '14'. k = -8 Simplifying k = -8
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