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Simplifying 15k + k + 5k + -19k + -1 = 15 Reorder the terms: -1 + 15k + k + 5k + -19k = 15 Combine like terms: 15k + k = 16k -1 + 16k + 5k + -19k = 15 Combine like terms: 16k + 5k = 21k -1 + 21k + -19k = 15 Combine like terms: 21k + -19k = 2k -1 + 2k = 15 Solving -1 + 2k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2k = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2k = 15 + 1 2k = 15 + 1 Combine like terms: 15 + 1 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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