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Simplifying 2(k + 4) = 7k + 2 Reorder the terms: 2(4 + k) = 7k + 2 (4 * 2 + k * 2) = 7k + 2 (8 + 2k) = 7k + 2 Reorder the terms: 8 + 2k = 2 + 7k Solving 8 + 2k = 2 + 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. 8 + 2k + -7k = 2 + 7k + -7k Combine like terms: 2k + -7k = -5k 8 + -5k = 2 + 7k + -7k Combine like terms: 7k + -7k = 0 8 + -5k = 2 + 0 8 + -5k = 2 Add '-8' to each side of the equation. 8 + -8 + -5k = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = 2 + -8 -5k = 2 + -8 Combine like terms: 2 + -8 = -6 -5k = -6 Divide each side by '-5'. k = 1.2 Simplifying k = 1.2
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