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Simplifying 8k + 19 + 12k = 5k + -19 Reorder the terms: 19 + 8k + 12k = 5k + -19 Combine like terms: 8k + 12k = 20k 19 + 20k = 5k + -19 Reorder the terms: 19 + 20k = -19 + 5k Solving 19 + 20k = -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. 19 + 20k + -5k = -19 + 5k + -5k Combine like terms: 20k + -5k = 15k 19 + 15k = -19 + 5k + -5k Combine like terms: 5k + -5k = 0 19 + 15k = -19 + 0 19 + 15k = -19 Add '-19' to each side of the equation. 19 + -19 + 15k = -19 + -19 Combine like terms: 19 + -19 = 0 0 + 15k = -19 + -19 15k = -19 + -19 Combine like terms: -19 + -19 = -38 15k = -38 Divide each side by '15'. k = -2.533333333 Simplifying k = -2.533333333
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