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Simplifying 4(3k + 1) = -36 + -8k Reorder the terms: 4(1 + 3k) = -36 + -8k (1 * 4 + 3k * 4) = -36 + -8k (4 + 12k) = -36 + -8k Solving 4 + 12k = -36 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 4 + 12k + 8k = -36 + -8k + 8k Combine like terms: 12k + 8k = 20k 4 + 20k = -36 + -8k + 8k Combine like terms: -8k + 8k = 0 4 + 20k = -36 + 0 4 + 20k = -36 Add '-4' to each side of the equation. 4 + -4 + 20k = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 20k = -36 + -4 20k = -36 + -4 Combine like terms: -36 + -4 = -40 20k = -40 Divide each side by '20'. k = -2 Simplifying k = -2
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