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Simplifying -7k + 20 = 9k + -87 Reorder the terms: 20 + -7k = 9k + -87 Reorder the terms: 20 + -7k = -87 + 9k Solving 20 + -7k = -87 + 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. 20 + -7k + -9k = -87 + 9k + -9k Combine like terms: -7k + -9k = -16k 20 + -16k = -87 + 9k + -9k Combine like terms: 9k + -9k = 0 20 + -16k = -87 + 0 20 + -16k = -87 Add '-20' to each side of the equation. 20 + -20 + -16k = -87 + -20 Combine like terms: 20 + -20 = 0 0 + -16k = -87 + -20 -16k = -87 + -20 Combine like terms: -87 + -20 = -107 -16k = -107 Divide each side by '-16'. k = 6.6875 Simplifying k = 6.6875
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