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Simplifying 3k + -24 = 7k + -40 Reorder the terms: -24 + 3k = 7k + -40 Reorder the terms: -24 + 3k = -40 + 7k Solving -24 + 3k = -40 + 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. -24 + 3k + -7k = -40 + 7k + -7k Combine like terms: 3k + -7k = -4k -24 + -4k = -40 + 7k + -7k Combine like terms: 7k + -7k = 0 -24 + -4k = -40 + 0 -24 + -4k = -40 Add '24' to each side of the equation. -24 + 24 + -4k = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -4k = -40 + 24 -4k = -40 + 24 Combine like terms: -40 + 24 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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