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Simplifying -3k + 5(1 + 5k) = -27 + 6k -3k + (1 * 5 + 5k * 5) = -27 + 6k -3k + (5 + 25k) = -27 + 6k Reorder the terms: 5 + -3k + 25k = -27 + 6k Combine like terms: -3k + 25k = 22k 5 + 22k = -27 + 6k Solving 5 + 22k = -27 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 5 + 22k + -6k = -27 + 6k + -6k Combine like terms: 22k + -6k = 16k 5 + 16k = -27 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + 16k = -27 + 0 5 + 16k = -27 Add '-5' to each side of the equation. 5 + -5 + 16k = -27 + -5 Combine like terms: 5 + -5 = 0 0 + 16k = -27 + -5 16k = -27 + -5 Combine like terms: -27 + -5 = -32 16k = -32 Divide each side by '16'. k = -2 Simplifying k = -2
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