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Simplifying 4(k + 7) = -8 + -8k Reorder the terms: 4(7 + k) = -8 + -8k (7 * 4 + k * 4) = -8 + -8k (28 + 4k) = -8 + -8k Solving 28 + 4k = -8 + -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. 28 + 4k + 8k = -8 + -8k + 8k Combine like terms: 4k + 8k = 12k 28 + 12k = -8 + -8k + 8k Combine like terms: -8k + 8k = 0 28 + 12k = -8 + 0 28 + 12k = -8 Add '-28' to each side of the equation. 28 + -28 + 12k = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 12k = -8 + -28 12k = -8 + -28 Combine like terms: -8 + -28 = -36 12k = -36 Divide each side by '12'. k = -3 Simplifying k = -3
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