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Simplifying 3k + -84 = 7k + -12 Reorder the terms: -84 + 3k = 7k + -12 Reorder the terms: -84 + 3k = -12 + 7k Solving -84 + 3k = -12 + 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. -84 + 3k + -7k = -12 + 7k + -7k Combine like terms: 3k + -7k = -4k -84 + -4k = -12 + 7k + -7k Combine like terms: 7k + -7k = 0 -84 + -4k = -12 + 0 -84 + -4k = -12 Add '84' to each side of the equation. -84 + 84 + -4k = -12 + 84 Combine like terms: -84 + 84 = 0 0 + -4k = -12 + 84 -4k = -12 + 84 Combine like terms: -12 + 84 = 72 -4k = 72 Divide each side by '-4'. k = -18 Simplifying k = -18
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