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Simplifying -3k + -39 = -5(8k + -7) Reorder the terms: -39 + -3k = -5(8k + -7) Reorder the terms: -39 + -3k = -5(-7 + 8k) -39 + -3k = (-7 * -5 + 8k * -5) -39 + -3k = (35 + -40k) Solving -39 + -3k = 35 + -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 + -3k + 40k = 35 + -40k + 40k Combine like terms: -3k + 40k = 37k -39 + 37k = 35 + -40k + 40k Combine like terms: -40k + 40k = 0 -39 + 37k = 35 + 0 -39 + 37k = 35 Add '39' to each side of the equation. -39 + 39 + 37k = 35 + 39 Combine like terms: -39 + 39 = 0 0 + 37k = 35 + 39 37k = 35 + 39 Combine like terms: 35 + 39 = 74 37k = 74 Divide each side by '37'. k = 2 Simplifying k = 2
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