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Simplifying 2(k + 5) + 3k + 2 = 360 Reorder the terms: 2(5 + k) + 3k + 2 = 360 (5 * 2 + k * 2) + 3k + 2 = 360 (10 + 2k) + 3k + 2 = 360 Reorder the terms: 10 + 2 + 2k + 3k = 360 Combine like terms: 10 + 2 = 12 12 + 2k + 3k = 360 Combine like terms: 2k + 3k = 5k 12 + 5k = 360 Solving 12 + 5k = 360 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5k = 360 + -12 Combine like terms: 12 + -12 = 0 0 + 5k = 360 + -12 5k = 360 + -12 Combine like terms: 360 + -12 = 348 5k = 348 Divide each side by '5'. k = 69.6 Simplifying k = 69.6
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