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Simplifying -15k + -14.63 = 8.66 + 8.84 + -8.7k Reorder the terms: -14.63 + -15k = 8.66 + 8.84 + -8.7k Combine like terms: 8.66 + 8.84 = 17.5 -14.63 + -15k = 17.5 + -8.7k Solving -14.63 + -15k = 17.5 + -8.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8.7k' to each side of the equation. -14.63 + -15k + 8.7k = 17.5 + -8.7k + 8.7k Combine like terms: -15k + 8.7k = -6.3k -14.63 + -6.3k = 17.5 + -8.7k + 8.7k Combine like terms: -8.7k + 8.7k = 0.0 -14.63 + -6.3k = 17.5 + 0.0 -14.63 + -6.3k = 17.5 Add '14.63' to each side of the equation. -14.63 + 14.63 + -6.3k = 17.5 + 14.63 Combine like terms: -14.63 + 14.63 = 0.00 0.00 + -6.3k = 17.5 + 14.63 -6.3k = 17.5 + 14.63 Combine like terms: 17.5 + 14.63 = 32.13 -6.3k = 32.13 Divide each side by '-6.3'. k = -5.1 Simplifying k = -5.1
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