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Simplifying -39 + -1k = -5(5k + 3) Reorder the terms: -39 + -1k = -5(3 + 5k) -39 + -1k = (3 * -5 + 5k * -5) -39 + -1k = (-15 + -25k) Solving -39 + -1k = -15 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. -39 + -1k + 25k = -15 + -25k + 25k Combine like terms: -1k + 25k = 24k -39 + 24k = -15 + -25k + 25k Combine like terms: -25k + 25k = 0 -39 + 24k = -15 + 0 -39 + 24k = -15 Add '39' to each side of the equation. -39 + 39 + 24k = -15 + 39 Combine like terms: -39 + 39 = 0 0 + 24k = -15 + 39 24k = -15 + 39 Combine like terms: -15 + 39 = 24 24k = 24 Divide each side by '24'. k = 1 Simplifying k = 1
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