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Simplifying -7k + 7(5k + 1) = -24 + -3k Reorder the terms: -7k + 7(1 + 5k) = -24 + -3k -7k + (1 * 7 + 5k * 7) = -24 + -3k -7k + (7 + 35k) = -24 + -3k Reorder the terms: 7 + -7k + 35k = -24 + -3k Combine like terms: -7k + 35k = 28k 7 + 28k = -24 + -3k Solving 7 + 28k = -24 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 7 + 28k + 3k = -24 + -3k + 3k Combine like terms: 28k + 3k = 31k 7 + 31k = -24 + -3k + 3k Combine like terms: -3k + 3k = 0 7 + 31k = -24 + 0 7 + 31k = -24 Add '-7' to each side of the equation. 7 + -7 + 31k = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 31k = -24 + -7 31k = -24 + -7 Combine like terms: -24 + -7 = -31 31k = -31 Divide each side by '31'. k = -1 Simplifying k = -1
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