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Simplifying 7k + -88 + 2(k + 12) = 52 Reorder the terms: 7k + -88 + 2(12 + k) = 52 7k + -88 + (12 * 2 + k * 2) = 52 7k + -88 + (24 + 2k) = 52 Reorder the terms: -88 + 24 + 7k + 2k = 52 Combine like terms: -88 + 24 = -64 -64 + 7k + 2k = 52 Combine like terms: 7k + 2k = 9k -64 + 9k = 52 Solving -64 + 9k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 9k = 52 + 64 Combine like terms: -64 + 64 = 0 0 + 9k = 52 + 64 9k = 52 + 64 Combine like terms: 52 + 64 = 116 9k = 116 Divide each side by '9'. k = 12.88888889 Simplifying k = 12.88888889
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