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Simplifying -39 + 3k = -7(-1 + -7k) -39 + 3k = (-1 * -7 + -7k * -7) -39 + 3k = (7 + 49k) Solving -39 + 3k = 7 + 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. -39 + 3k + -49k = 7 + 49k + -49k Combine like terms: 3k + -49k = -46k -39 + -46k = 7 + 49k + -49k Combine like terms: 49k + -49k = 0 -39 + -46k = 7 + 0 -39 + -46k = 7 Add '39' to each side of the equation. -39 + 39 + -46k = 7 + 39 Combine like terms: -39 + 39 = 0 0 + -46k = 7 + 39 -46k = 7 + 39 Combine like terms: 7 + 39 = 46 -46k = 46 Divide each side by '-46'. k = -1 Simplifying k = -1
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