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Simplifying 39 + -4k = -5(6k + 7) + -4 Reorder the terms: 39 + -4k = -5(7 + 6k) + -4 39 + -4k = (7 * -5 + 6k * -5) + -4 39 + -4k = (-35 + -30k) + -4 Reorder the terms: 39 + -4k = -35 + -4 + -30k Combine like terms: -35 + -4 = -39 39 + -4k = -39 + -30k Solving 39 + -4k = -39 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 39 + -4k + 30k = -39 + -30k + 30k Combine like terms: -4k + 30k = 26k 39 + 26k = -39 + -30k + 30k Combine like terms: -30k + 30k = 0 39 + 26k = -39 + 0 39 + 26k = -39 Add '-39' to each side of the equation. 39 + -39 + 26k = -39 + -39 Combine like terms: 39 + -39 = 0 0 + 26k = -39 + -39 26k = -39 + -39 Combine like terms: -39 + -39 = -78 26k = -78 Divide each side by '26'. k = -3 Simplifying k = -3
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