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Simplifying 5k + 32 = -8(k + 3) + 6k Reorder the terms: 32 + 5k = -8(k + 3) + 6k Reorder the terms: 32 + 5k = -8(3 + k) + 6k 32 + 5k = (3 * -8 + k * -8) + 6k 32 + 5k = (-24 + -8k) + 6k Combine like terms: -8k + 6k = -2k 32 + 5k = -24 + -2k Solving 32 + 5k = -24 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 32 + 5k + 2k = -24 + -2k + 2k Combine like terms: 5k + 2k = 7k 32 + 7k = -24 + -2k + 2k Combine like terms: -2k + 2k = 0 32 + 7k = -24 + 0 32 + 7k = -24 Add '-32' to each side of the equation. 32 + -32 + 7k = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 7k = -24 + -32 7k = -24 + -32 Combine like terms: -24 + -32 = -56 7k = -56 Divide each side by '7'. k = -8 Simplifying k = -8
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