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Simplifying -30 + 3k = -2k + -5(k + -4) Reorder the terms: -30 + 3k = -2k + -5(-4 + k) -30 + 3k = -2k + (-4 * -5 + k * -5) -30 + 3k = -2k + (20 + -5k) Reorder the terms: -30 + 3k = 20 + -2k + -5k Combine like terms: -2k + -5k = -7k -30 + 3k = 20 + -7k Solving -30 + 3k = 20 + -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. -30 + 3k + 7k = 20 + -7k + 7k Combine like terms: 3k + 7k = 10k -30 + 10k = 20 + -7k + 7k Combine like terms: -7k + 7k = 0 -30 + 10k = 20 + 0 -30 + 10k = 20 Add '30' to each side of the equation. -30 + 30 + 10k = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 10k = 20 + 30 10k = 20 + 30 Combine like terms: 20 + 30 = 50 10k = 50 Divide each side by '10'. k = 5 Simplifying k = 5
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