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Simplifying 3k + -5(6k + 5) = -1k + 27 Reorder the terms: 3k + -5(5 + 6k) = -1k + 27 3k + (5 * -5 + 6k * -5) = -1k + 27 3k + (-25 + -30k) = -1k + 27 Reorder the terms: -25 + 3k + -30k = -1k + 27 Combine like terms: 3k + -30k = -27k -25 + -27k = -1k + 27 Reorder the terms: -25 + -27k = 27 + -1k Solving -25 + -27k = 27 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -25 + -27k + k = 27 + -1k + k Combine like terms: -27k + k = -26k -25 + -26k = 27 + -1k + k Combine like terms: -1k + k = 0 -25 + -26k = 27 + 0 -25 + -26k = 27 Add '25' to each side of the equation. -25 + 25 + -26k = 27 + 25 Combine like terms: -25 + 25 = 0 0 + -26k = 27 + 25 -26k = 27 + 25 Combine like terms: 27 + 25 = 52 -26k = 52 Divide each side by '-26'. k = -2 Simplifying k = -2
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