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Simplifying -7k + 10 = 9k + 19 Reorder the terms: 10 + -7k = 9k + 19 Reorder the terms: 10 + -7k = 19 + 9k Solving 10 + -7k = 19 + 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. 10 + -7k + -9k = 19 + 9k + -9k Combine like terms: -7k + -9k = -16k 10 + -16k = 19 + 9k + -9k Combine like terms: 9k + -9k = 0 10 + -16k = 19 + 0 10 + -16k = 19 Add '-10' to each side of the equation. 10 + -10 + -16k = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -16k = 19 + -10 -16k = 19 + -10 Combine like terms: 19 + -10 = 9 -16k = 9 Divide each side by '-16'. k = -0.5625 Simplifying k = -0.5625
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