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Simplifying -7(4k + 6) + 6 = -120 Reorder the terms: -7(6 + 4k) + 6 = -120 (6 * -7 + 4k * -7) + 6 = -120 (-42 + -28k) + 6 = -120 Reorder the terms: -42 + 6 + -28k = -120 Combine like terms: -42 + 6 = -36 -36 + -28k = -120 Solving -36 + -28k = -120 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 + -28k = -120 + 36 Combine like terms: -36 + 36 = 0 0 + -28k = -120 + 36 -28k = -120 + 36 Combine like terms: -120 + 36 = -84 -28k = -84 Divide each side by '-28'. k = 3 Simplifying k = 3
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