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Simplifying 3k + -5 = -7k + -33 Reorder the terms: -5 + 3k = -7k + -33 Reorder the terms: -5 + 3k = -33 + -7k Solving -5 + 3k = -33 + -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. -5 + 3k + 7k = -33 + -7k + 7k Combine like terms: 3k + 7k = 10k -5 + 10k = -33 + -7k + 7k Combine like terms: -7k + 7k = 0 -5 + 10k = -33 + 0 -5 + 10k = -33 Add '5' to each side of the equation. -5 + 5 + 10k = -33 + 5 Combine like terms: -5 + 5 = 0 0 + 10k = -33 + 5 10k = -33 + 5 Combine like terms: -33 + 5 = -28 10k = -28 Divide each side by '10'. k = -2.8 Simplifying k = -2.8
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