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Simplifying 8k + -7k + -16 + -3k = 21 Reorder the terms: -16 + 8k + -7k + -3k = 21 Combine like terms: 8k + -7k = 1k -16 + 1k + -3k = 21 Combine like terms: 1k + -3k = -2k -16 + -2k = 21 Solving -16 + -2k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2k = 21 + 16 Combine like terms: -16 + 16 = 0 0 + -2k = 21 + 16 -2k = 21 + 16 Combine like terms: 21 + 16 = 37 -2k = 37 Divide each side by '-2'. k = -18.5 Simplifying k = -18.5
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