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Simplifying 6(5k + 7) + -6 = -114 Reorder the terms: 6(7 + 5k) + -6 = -114 (7 * 6 + 5k * 6) + -6 = -114 (42 + 30k) + -6 = -114 Reorder the terms: 42 + -6 + 30k = -114 Combine like terms: 42 + -6 = 36 36 + 30k = -114 Solving 36 + 30k = -114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 30k = -114 + -36 Combine like terms: 36 + -36 = 0 0 + 30k = -114 + -36 30k = -114 + -36 Combine like terms: -114 + -36 = -150 30k = -150 Divide each side by '30'. k = -5 Simplifying k = -5
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