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Simplifying -6(-8k + -19) = -14 + 20k + 20k Reorder the terms: -6(-19 + -8k) = -14 + 20k + 20k (-19 * -6 + -8k * -6) = -14 + 20k + 20k (114 + 48k) = -14 + 20k + 20k Combine like terms: 20k + 20k = 40k 114 + 48k = -14 + 40k Solving 114 + 48k = -14 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 114 + 48k + -40k = -14 + 40k + -40k Combine like terms: 48k + -40k = 8k 114 + 8k = -14 + 40k + -40k Combine like terms: 40k + -40k = 0 114 + 8k = -14 + 0 114 + 8k = -14 Add '-114' to each side of the equation. 114 + -114 + 8k = -14 + -114 Combine like terms: 114 + -114 = 0 0 + 8k = -14 + -114 8k = -14 + -114 Combine like terms: -14 + -114 = -128 8k = -128 Divide each side by '8'. k = -16 Simplifying k = -16
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