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Simplifying -8k + 7(4k + -2) = -114 Reorder the terms: -8k + 7(-2 + 4k) = -114 -8k + (-2 * 7 + 4k * 7) = -114 -8k + (-14 + 28k) = -114 Reorder the terms: -14 + -8k + 28k = -114 Combine like terms: -8k + 28k = 20k -14 + 20k = -114 Solving -14 + 20k = -114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 20k = -114 + 14 Combine like terms: -14 + 14 = 0 0 + 20k = -114 + 14 20k = -114 + 14 Combine like terms: -114 + 14 = -100 20k = -100 Divide each side by '20'. k = -5 Simplifying k = -5
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