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Simplifying -7k + 12 = 9k + 18 Reorder the terms: 12 + -7k = 9k + 18 Reorder the terms: 12 + -7k = 18 + 9k Solving 12 + -7k = 18 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 12 + -7k + -9k = 18 + 9k + -9k Combine like terms: -7k + -9k = -16k 12 + -16k = 18 + 9k + -9k Combine like terms: 9k + -9k = 0 12 + -16k = 18 + 0 12 + -16k = 18 Add '-12' to each side of the equation. 12 + -12 + -16k = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -16k = 18 + -12 -16k = 18 + -12 Combine like terms: 18 + -12 = 6 -16k = 6 Divide each side by '-16'. k = -0.375 Simplifying k = -0.375
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