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Simplifying 5(1 + 4k) = 27 + -2k (1 * 5 + 4k * 5) = 27 + -2k (5 + 20k) = 27 + -2k Solving 5 + 20k = 27 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 5 + 20k + 2k = 27 + -2k + 2k Combine like terms: 20k + 2k = 22k 5 + 22k = 27 + -2k + 2k Combine like terms: -2k + 2k = 0 5 + 22k = 27 + 0 5 + 22k = 27 Add '-5' to each side of the equation. 5 + -5 + 22k = 27 + -5 Combine like terms: 5 + -5 = 0 0 + 22k = 27 + -5 22k = 27 + -5 Combine like terms: 27 + -5 = 22 22k = 22 Divide each side by '22'. k = 1 Simplifying k = 1
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