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Simplifying 7(8 + 4k) + 12 = 0 (8 * 7 + 4k * 7) + 12 = 0 (56 + 28k) + 12 = 0 Reorder the terms: 56 + 12 + 28k = 0 Combine like terms: 56 + 12 = 68 68 + 28k = 0 Solving 68 + 28k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 28k = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 28k = 0 + -68 28k = 0 + -68 Combine like terms: 0 + -68 = -68 28k = -68 Divide each side by '28'. k = -2.428571429 Simplifying k = -2.428571429
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