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Simplifying -8k + -7(8k + -2) = -144 Reorder the terms: -8k + -7(-2 + 8k) = -144 -8k + (-2 * -7 + 8k * -7) = -144 -8k + (14 + -56k) = -144 Reorder the terms: 14 + -8k + -56k = -144 Combine like terms: -8k + -56k = -64k 14 + -64k = -144 Solving 14 + -64k = -144 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 + -64k = -144 + -14 Combine like terms: 14 + -14 = 0 0 + -64k = -144 + -14 -64k = -144 + -14 Combine like terms: -144 + -14 = -158 -64k = -158 Divide each side by '-64'. k = 2.46875 Simplifying k = 2.46875
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