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Simplifying -27 = 5(k + 2) Reorder the terms: -27 = 5(2 + k) -27 = (2 * 5 + k * 5) -27 = (10 + 5k) Solving -27 = 10 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -27 + -5k = 10 + 5k + -5k Combine like terms: 5k + -5k = 0 -27 + -5k = 10 + 0 -27 + -5k = 10 Add '27' to each side of the equation. -27 + 27 + -5k = 10 + 27 Combine like terms: -27 + 27 = 0 0 + -5k = 10 + 27 -5k = 10 + 27 Combine like terms: 10 + 27 = 37 -5k = 37 Divide each side by '-5'. k = -7.4 Simplifying k = -7.4
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