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Simplifying 8k + 36 = -3k + 7(k + 8) Reorder the terms: 36 + 8k = -3k + 7(k + 8) Reorder the terms: 36 + 8k = -3k + 7(8 + k) 36 + 8k = -3k + (8 * 7 + k * 7) 36 + 8k = -3k + (56 + 7k) Reorder the terms: 36 + 8k = 56 + -3k + 7k Combine like terms: -3k + 7k = 4k 36 + 8k = 56 + 4k Solving 36 + 8k = 56 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 36 + 8k + -4k = 56 + 4k + -4k Combine like terms: 8k + -4k = 4k 36 + 4k = 56 + 4k + -4k Combine like terms: 4k + -4k = 0 36 + 4k = 56 + 0 36 + 4k = 56 Add '-36' to each side of the equation. 36 + -36 + 4k = 56 + -36 Combine like terms: 36 + -36 = 0 0 + 4k = 56 + -36 4k = 56 + -36 Combine like terms: 56 + -36 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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