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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 = -4k -5 + -4k = -33 + 7k + -7k Combine like terms: 7k + -7k = 0 -5 + -4k = -33 + 0 -5 + -4k = -33 Add '5' to each side of the equation. -5 + 5 + -4k = -33 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = -33 + 5 -4k = -33 + 5 Combine like terms: -33 + 5 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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