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Simplifying -3(-7k + 2) + 4k = 34 + 5k Reorder the terms: -3(2 + -7k) + 4k = 34 + 5k (2 * -3 + -7k * -3) + 4k = 34 + 5k (-6 + 21k) + 4k = 34 + 5k Combine like terms: 21k + 4k = 25k -6 + 25k = 34 + 5k Solving -6 + 25k = 34 + 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. -6 + 25k + -5k = 34 + 5k + -5k Combine like terms: 25k + -5k = 20k -6 + 20k = 34 + 5k + -5k Combine like terms: 5k + -5k = 0 -6 + 20k = 34 + 0 -6 + 20k = 34 Add '6' to each side of the equation. -6 + 6 + 20k = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 20k = 34 + 6 20k = 34 + 6 Combine like terms: 34 + 6 = 40 20k = 40 Divide each side by '20'. k = 2 Simplifying k = 2
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