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Simplifying k + -4 + 5k + -5 = -5(7 + -2k) + -3(k + -3) Reorder the terms: -4 + -5 + k + 5k = -5(7 + -2k) + -3(k + -3) Combine like terms: -4 + -5 = -9 -9 + k + 5k = -5(7 + -2k) + -3(k + -3) Combine like terms: k + 5k = 6k -9 + 6k = -5(7 + -2k) + -3(k + -3) -9 + 6k = (7 * -5 + -2k * -5) + -3(k + -3) -9 + 6k = (-35 + 10k) + -3(k + -3) Reorder the terms: -9 + 6k = -35 + 10k + -3(-3 + k) -9 + 6k = -35 + 10k + (-3 * -3 + k * -3) -9 + 6k = -35 + 10k + (9 + -3k) Reorder the terms: -9 + 6k = -35 + 9 + 10k + -3k Combine like terms: -35 + 9 = -26 -9 + 6k = -26 + 10k + -3k Combine like terms: 10k + -3k = 7k -9 + 6k = -26 + 7k Solving -9 + 6k = -26 + 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. -9 + 6k + -7k = -26 + 7k + -7k Combine like terms: 6k + -7k = -1k -9 + -1k = -26 + 7k + -7k Combine like terms: 7k + -7k = 0 -9 + -1k = -26 + 0 -9 + -1k = -26 Add '9' to each side of the equation. -9 + 9 + -1k = -26 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = -26 + 9 -1k = -26 + 9 Combine like terms: -26 + 9 = -17 -1k = -17 Divide each side by '-1'. k = 17 Simplifying k = 17
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