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Simplifying -39 + 6k = 5 + -5(2 + -8k) -39 + 6k = 5 + (2 * -5 + -8k * -5) -39 + 6k = 5 + (-10 + 40k) Combine like terms: 5 + -10 = -5 -39 + 6k = -5 + 40k Solving -39 + 6k = -5 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -39 + 6k + -40k = -5 + 40k + -40k Combine like terms: 6k + -40k = -34k -39 + -34k = -5 + 40k + -40k Combine like terms: 40k + -40k = 0 -39 + -34k = -5 + 0 -39 + -34k = -5 Add '39' to each side of the equation. -39 + 39 + -34k = -5 + 39 Combine like terms: -39 + 39 = 0 0 + -34k = -5 + 39 -34k = -5 + 39 Combine like terms: -5 + 39 = 34 -34k = 34 Divide each side by '-34'. k = -1 Simplifying k = -1
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