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Simplifying 3(4k + -1) + 2(5 + -3) = 7k Reorder the terms: 3(-1 + 4k) + 2(5 + -3) = 7k (-1 * 3 + 4k * 3) + 2(5 + -3) = 7k (-3 + 12k) + 2(5 + -3) = 7k Combine like terms: 5 + -3 = 2 -3 + 12k + 2(2) = 7k Multiply 2 * 2 -3 + 12k + 4 = 7k Reorder the terms: -3 + 4 + 12k = 7k Combine like terms: -3 + 4 = 1 1 + 12k = 7k Solving 1 + 12k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 1 + 12k + -7k = 7k + -7k Combine like terms: 12k + -7k = 5k 1 + 5k = 7k + -7k Combine like terms: 7k + -7k = 0 1 + 5k = 0 Add '-1' to each side of the equation. 1 + -1 + 5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 0 + -1 5k = 0 + -1 Combine like terms: 0 + -1 = -1 5k = -1 Divide each side by '5'. k = -0.2 Simplifying k = -0.2
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