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Simplifying 39 + -2k = -5(6 + 5k) 39 + -2k = (6 * -5 + 5k * -5) 39 + -2k = (-30 + -25k) Solving 39 + -2k = -30 + -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 + -2k + 25k = -30 + -25k + 25k Combine like terms: -2k + 25k = 23k 39 + 23k = -30 + -25k + 25k Combine like terms: -25k + 25k = 0 39 + 23k = -30 + 0 39 + 23k = -30 Add '-39' to each side of the equation. 39 + -39 + 23k = -30 + -39 Combine like terms: 39 + -39 = 0 0 + 23k = -30 + -39 23k = -30 + -39 Combine like terms: -30 + -39 = -69 23k = -69 Divide each side by '23'. k = -3 Simplifying k = -3
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