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Simplifying 8(k + 47) + 44 = -44 Reorder the terms: 8(47 + k) + 44 = -44 (47 * 8 + k * 8) + 44 = -44 (376 + 8k) + 44 = -44 Reorder the terms: 376 + 44 + 8k = -44 Combine like terms: 376 + 44 = 420 420 + 8k = -44 Solving 420 + 8k = -44 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + 8k = -44 + -420 Combine like terms: 420 + -420 = 0 0 + 8k = -44 + -420 8k = -44 + -420 Combine like terms: -44 + -420 = -464 8k = -464 Divide each side by '8'. k = -58 Simplifying k = -58
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