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Simplifying 15k + -3 + 2k = 2(7k + 6) Reorder the terms: -3 + 15k + 2k = 2(7k + 6) Combine like terms: 15k + 2k = 17k -3 + 17k = 2(7k + 6) Reorder the terms: -3 + 17k = 2(6 + 7k) -3 + 17k = (6 * 2 + 7k * 2) -3 + 17k = (12 + 14k) Solving -3 + 17k = 12 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -3 + 17k + -14k = 12 + 14k + -14k Combine like terms: 17k + -14k = 3k -3 + 3k = 12 + 14k + -14k Combine like terms: 14k + -14k = 0 -3 + 3k = 12 + 0 -3 + 3k = 12 Add '3' to each side of the equation. -3 + 3 + 3k = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 12 + 3 3k = 12 + 3 Combine like terms: 12 + 3 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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