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Simplifying 6(8k + 7) = -102 Reorder the terms: 6(7 + 8k) = -102 (7 * 6 + 8k * 6) = -102 (42 + 48k) = -102 Solving 42 + 48k = -102 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 48k = -102 + -42 Combine like terms: 42 + -42 = 0 0 + 48k = -102 + -42 48k = -102 + -42 Combine like terms: -102 + -42 = -144 48k = -144 Divide each side by '48'. k = -3 Simplifying k = -3
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