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Simplifying 2k + 3 + -7 + -14 = 7k + -8 Reorder the terms: 3 + -7 + -14 + 2k = 7k + -8 Combine like terms: 3 + -7 = -4 -4 + -14 + 2k = 7k + -8 Combine like terms: -4 + -14 = -18 -18 + 2k = 7k + -8 Reorder the terms: -18 + 2k = -8 + 7k Solving -18 + 2k = -8 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -18 + 2k + -7k = -8 + 7k + -7k Combine like terms: 2k + -7k = -5k -18 + -5k = -8 + 7k + -7k Combine like terms: 7k + -7k = 0 -18 + -5k = -8 + 0 -18 + -5k = -8 Add '18' to each side of the equation. -18 + 18 + -5k = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5k = -8 + 18 -5k = -8 + 18 Combine like terms: -8 + 18 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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