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Simplifying -296 = -8(1 + 6k) -296 = (1 * -8 + 6k * -8) -296 = (-8 + -48k) Solving -296 = -8 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. -296 + 48k = -8 + -48k + 48k Combine like terms: -48k + 48k = 0 -296 + 48k = -8 + 0 -296 + 48k = -8 Add '296' to each side of the equation. -296 + 296 + 48k = -8 + 296 Combine like terms: -296 + 296 = 0 0 + 48k = -8 + 296 48k = -8 + 296 Combine like terms: -8 + 296 = 288 48k = 288 Divide each side by '48'. k = 6 Simplifying k = 6
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