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Simplifying 3k + -22 = 7k + -16 Reorder the terms: -22 + 3k = 7k + -16 Reorder the terms: -22 + 3k = -16 + 7k Solving -22 + 3k = -16 + 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. -22 + 3k + -7k = -16 + 7k + -7k Combine like terms: 3k + -7k = -4k -22 + -4k = -16 + 7k + -7k Combine like terms: 7k + -7k = 0 -22 + -4k = -16 + 0 -22 + -4k = -16 Add '22' to each side of the equation. -22 + 22 + -4k = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -4k = -16 + 22 -4k = -16 + 22 Combine like terms: -16 + 22 = 6 -4k = 6 Divide each side by '-4'. k = -1.5 Simplifying k = -1.5
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