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Simplifying 7k + -8 + 1(k + 12) = 52 Reorder the terms: 7k + -8 + 1(12 + k) = 52 7k + -8 + (12 * 1 + k * 1) = 52 7k + -8 + (12 + 1k) = 52 Reorder the terms: -8 + 12 + 7k + 1k = 52 Combine like terms: -8 + 12 = 4 4 + 7k + 1k = 52 Combine like terms: 7k + 1k = 8k 4 + 8k = 52 Solving 4 + 8k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8k = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 8k = 52 + -4 8k = 52 + -4 Combine like terms: 52 + -4 = 48 8k = 48 Divide each side by '8'. k = 6 Simplifying k = 6
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