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Simplifying -4 + 5(k + -2) = 7k + -8 Reorder the terms: -4 + 5(-2 + k) = 7k + -8 -4 + (-2 * 5 + k * 5) = 7k + -8 -4 + (-10 + 5k) = 7k + -8 Combine like terms: -4 + -10 = -14 -14 + 5k = 7k + -8 Reorder the terms: -14 + 5k = -8 + 7k Solving -14 + 5k = -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. -14 + 5k + -7k = -8 + 7k + -7k Combine like terms: 5k + -7k = -2k -14 + -2k = -8 + 7k + -7k Combine like terms: 7k + -7k = 0 -14 + -2k = -8 + 0 -14 + -2k = -8 Add '14' to each side of the equation. -14 + 14 + -2k = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = -8 + 14 -2k = -8 + 14 Combine like terms: -8 + 14 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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