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Simplifying 8(1 + -8k) = -312 (1 * 8 + -8k * 8) = -312 (8 + -64k) = -312 Solving 8 + -64k = -312 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -64k = -312 + -8 Combine like terms: 8 + -8 = 0 0 + -64k = -312 + -8 -64k = -312 + -8 Combine like terms: -312 + -8 = -320 -64k = -320 Divide each side by '-64'. k = 5 Simplifying k = 5
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