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Simplifying 17 + 5k = 12k + -1(-3) Multiply -1 * -3 17 + 5k = 12k + 3 Reorder the terms: 17 + 5k = 3 + 12k Solving 17 + 5k = 3 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 17 + 5k + -12k = 3 + 12k + -12k Combine like terms: 5k + -12k = -7k 17 + -7k = 3 + 12k + -12k Combine like terms: 12k + -12k = 0 17 + -7k = 3 + 0 17 + -7k = 3 Add '-17' to each side of the equation. 17 + -17 + -7k = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -7k = 3 + -17 -7k = 3 + -17 Combine like terms: 3 + -17 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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