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Simplifying 5k + 3k + -10k + -1 = 8 Reorder the terms: -1 + 5k + 3k + -10k = 8 Combine like terms: 5k + 3k = 8k -1 + 8k + -10k = 8 Combine like terms: 8k + -10k = -2k -1 + -2k = 8 Solving -1 + -2k = 8 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 = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -2k = 8 + 1 -2k = 8 + 1 Combine like terms: 8 + 1 = 9 -2k = 9 Divide each side by '-2'. k = -4.5 Simplifying k = -4.5
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