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Simplifying 2(7k + -2) + 8 = 40 + 5k Reorder the terms: 2(-2 + 7k) + 8 = 40 + 5k (-2 * 2 + 7k * 2) + 8 = 40 + 5k (-4 + 14k) + 8 = 40 + 5k Reorder the terms: -4 + 8 + 14k = 40 + 5k Combine like terms: -4 + 8 = 4 4 + 14k = 40 + 5k Solving 4 + 14k = 40 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 4 + 14k + -5k = 40 + 5k + -5k Combine like terms: 14k + -5k = 9k 4 + 9k = 40 + 5k + -5k Combine like terms: 5k + -5k = 0 4 + 9k = 40 + 0 4 + 9k = 40 Add '-4' to each side of the equation. 4 + -4 + 9k = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 9k = 40 + -4 9k = 40 + -4 Combine like terms: 40 + -4 = 36 9k = 36 Divide each side by '9'. k = 4 Simplifying k = 4
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