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Simplifying 5 + 2(7k + 1) = -91 Reorder the terms: 5 + 2(1 + 7k) = -91 5 + (1 * 2 + 7k * 2) = -91 5 + (2 + 14k) = -91 Combine like terms: 5 + 2 = 7 7 + 14k = -91 Solving 7 + 14k = -91 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 = -91 + -7 Combine like terms: 7 + -7 = 0 0 + 14k = -91 + -7 14k = -91 + -7 Combine like terms: -91 + -7 = -98 14k = -98 Divide each side by '14'. k = -7 Simplifying k = -7
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