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Simplifying -16k + 12 = -9k + -51 Reorder the terms: 12 + -16k = -9k + -51 Reorder the terms: 12 + -16k = -51 + -9k Solving 12 + -16k = -51 + -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 + -16k + 9k = -51 + -9k + 9k Combine like terms: -16k + 9k = -7k 12 + -7k = -51 + -9k + 9k Combine like terms: -9k + 9k = 0 12 + -7k = -51 + 0 12 + -7k = -51 Add '-12' to each side of the equation. 12 + -12 + -7k = -51 + -12 Combine like terms: 12 + -12 = 0 0 + -7k = -51 + -12 -7k = -51 + -12 Combine like terms: -51 + -12 = -63 -7k = -63 Divide each side by '-7'. k = 9 Simplifying k = 9
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