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Simplifying 1 + -12k + -10 = 19 + -5k Reorder the terms: 1 + -10 + -12k = 19 + -5k Combine like terms: 1 + -10 = -9 -9 + -12k = 19 + -5k Solving -9 + -12k = 19 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -9 + -12k + 5k = 19 + -5k + 5k Combine like terms: -12k + 5k = -7k -9 + -7k = 19 + -5k + 5k Combine like terms: -5k + 5k = 0 -9 + -7k = 19 + 0 -9 + -7k = 19 Add '9' to each side of the equation. -9 + 9 + -7k = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -7k = 19 + 9 -7k = 19 + 9 Combine like terms: 19 + 9 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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