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Simplifying -7k + 27 = -5(k + -7) Reorder the terms: 27 + -7k = -5(k + -7) Reorder the terms: 27 + -7k = -5(-7 + k) 27 + -7k = (-7 * -5 + k * -5) 27 + -7k = (35 + -5k) Solving 27 + -7k = 35 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 27 + -7k + 5k = 35 + -5k + 5k Combine like terms: -7k + 5k = -2k 27 + -2k = 35 + -5k + 5k Combine like terms: -5k + 5k = 0 27 + -2k = 35 + 0 27 + -2k = 35 Add '-27' to each side of the equation. 27 + -27 + -2k = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -2k = 35 + -27 -2k = 35 + -27 Combine like terms: 35 + -27 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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