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Simplifying 39 + 5k = -7(-1 + 4k) + k 39 + 5k = (-1 * -7 + 4k * -7) + k 39 + 5k = (7 + -28k) + k Combine like terms: -28k + k = -27k 39 + 5k = 7 + -27k Solving 39 + 5k = 7 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. 39 + 5k + 27k = 7 + -27k + 27k Combine like terms: 5k + 27k = 32k 39 + 32k = 7 + -27k + 27k Combine like terms: -27k + 27k = 0 39 + 32k = 7 + 0 39 + 32k = 7 Add '-39' to each side of the equation. 39 + -39 + 32k = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 32k = 7 + -39 32k = 7 + -39 Combine like terms: 7 + -39 = -32 32k = -32 Divide each side by '32'. k = -1 Simplifying k = -1
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