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Simplifying -27 + -4k = -5(6k + 2) Reorder the terms: -27 + -4k = -5(2 + 6k) -27 + -4k = (2 * -5 + 6k * -5) -27 + -4k = (-10 + -30k) Solving -27 + -4k = -10 + -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. -27 + -4k + 30k = -10 + -30k + 30k Combine like terms: -4k + 30k = 26k -27 + 26k = -10 + -30k + 30k Combine like terms: -30k + 30k = 0 -27 + 26k = -10 + 0 -27 + 26k = -10 Add '27' to each side of the equation. -27 + 27 + 26k = -10 + 27 Combine like terms: -27 + 27 = 0 0 + 26k = -10 + 27 26k = -10 + 27 Combine like terms: -10 + 27 = 17 26k = 17 Divide each side by '26'. k = 0.6538461538 Simplifying k = 0.6538461538
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