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Simplifying 1 + 7(-7k + 5) = -111 Reorder the terms: 1 + 7(5 + -7k) = -111 1 + (5 * 7 + -7k * 7) = -111 1 + (35 + -49k) = -111 Combine like terms: 1 + 35 = 36 36 + -49k = -111 Solving 36 + -49k = -111 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -49k = -111 + -36 Combine like terms: 36 + -36 = 0 0 + -49k = -111 + -36 -49k = -111 + -36 Combine like terms: -111 + -36 = -147 -49k = -147 Divide each side by '-49'. k = 3 Simplifying k = 3
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