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Simplifying 7k + -8 + 2(k + 2) = 52 Reorder the terms: 7k + -8 + 2(2 + k) = 52 7k + -8 + (2 * 2 + k * 2) = 52 7k + -8 + (4 + 2k) = 52 Reorder the terms: -8 + 4 + 7k + 2k = 52 Combine like terms: -8 + 4 = -4 -4 + 7k + 2k = 52 Combine like terms: 7k + 2k = 9k -4 + 9k = 52 Solving -4 + 9k = 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 + 9k = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 9k = 52 + 4 9k = 52 + 4 Combine like terms: 52 + 4 = 56 9k = 56 Divide each side by '9'. k = 6.222222222 Simplifying k = 6.222222222
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