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Simplifying k + -26 = -1(k + -4) + 7k Reorder the terms: -26 + k = -1(k + -4) + 7k Reorder the terms: -26 + k = -1(-4 + k) + 7k -26 + k = (-4 * -1 + k * -1) + 7k -26 + k = (4 + -1k) + 7k Combine like terms: -1k + 7k = 6k -26 + k = 4 + 6k Solving -26 + k = 4 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -26 + k + -6k = 4 + 6k + -6k Combine like terms: k + -6k = -5k -26 + -5k = 4 + 6k + -6k Combine like terms: 6k + -6k = 0 -26 + -5k = 4 + 0 -26 + -5k = 4 Add '26' to each side of the equation. -26 + 26 + -5k = 4 + 26 Combine like terms: -26 + 26 = 0 0 + -5k = 4 + 26 -5k = 4 + 26 Combine like terms: 4 + 26 = 30 -5k = 30 Divide each side by '-5'. k = -6 Simplifying k = -6
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