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Simplifying -8(8k + -7) + 2 = -6 Reorder the terms: -8(-7 + 8k) + 2 = -6 (-7 * -8 + 8k * -8) + 2 = -6 (56 + -64k) + 2 = -6 Reorder the terms: 56 + 2 + -64k = -6 Combine like terms: 56 + 2 = 58 58 + -64k = -6 Solving 58 + -64k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -64k = -6 + -58 Combine like terms: 58 + -58 = 0 0 + -64k = -6 + -58 -64k = -6 + -58 Combine like terms: -6 + -58 = -64 -64k = -64 Divide each side by '-64'. k = 1 Simplifying k = 1
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