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Simplifying -296 = 8(8k + 3) Reorder the terms: -296 = 8(3 + 8k) -296 = (3 * 8 + 8k * 8) -296 = (24 + 64k) Solving -296 = 24 + 64k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64k' to each side of the equation. -296 + -64k = 24 + 64k + -64k Combine like terms: 64k + -64k = 0 -296 + -64k = 24 + 0 -296 + -64k = 24 Add '296' to each side of the equation. -296 + 296 + -64k = 24 + 296 Combine like terms: -296 + 296 = 0 0 + -64k = 24 + 296 -64k = 24 + 296 Combine like terms: 24 + 296 = 320 -64k = 320 Divide each side by '-64'. k = -5 Simplifying k = -5
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