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Simplifying -3k + 39 = 3(7k + -1) Reorder the terms: 39 + -3k = 3(7k + -1) Reorder the terms: 39 + -3k = 3(-1 + 7k) 39 + -3k = (-1 * 3 + 7k * 3) 39 + -3k = (-3 + 21k) Solving 39 + -3k = -3 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 39 + -3k + -21k = -3 + 21k + -21k Combine like terms: -3k + -21k = -24k 39 + -24k = -3 + 21k + -21k Combine like terms: 21k + -21k = 0 39 + -24k = -3 + 0 39 + -24k = -3 Add '-39' to each side of the equation. 39 + -39 + -24k = -3 + -39 Combine like terms: 39 + -39 = 0 0 + -24k = -3 + -39 -24k = -3 + -39 Combine like terms: -3 + -39 = -42 -24k = -42 Divide each side by '-24'. k = 1.75 Simplifying k = 1.75
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