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Simplifying 15(k + 2) = 7k + 94 Reorder the terms: 15(2 + k) = 7k + 94 (2 * 15 + k * 15) = 7k + 94 (30 + 15k) = 7k + 94 Reorder the terms: 30 + 15k = 94 + 7k Solving 30 + 15k = 94 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 30 + 15k + -7k = 94 + 7k + -7k Combine like terms: 15k + -7k = 8k 30 + 8k = 94 + 7k + -7k Combine like terms: 7k + -7k = 0 30 + 8k = 94 + 0 30 + 8k = 94 Add '-30' to each side of the equation. 30 + -30 + 8k = 94 + -30 Combine like terms: 30 + -30 = 0 0 + 8k = 94 + -30 8k = 94 + -30 Combine like terms: 94 + -30 = 64 8k = 64 Divide each side by '8'. k = 8 Simplifying k = 8
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