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Simplifying 296 = -8(6k + 5) Reorder the terms: 296 = -8(5 + 6k) 296 = (5 * -8 + 6k * -8) 296 = (-40 + -48k) Solving 296 = -40 + -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 = -40 + -48k + 48k Combine like terms: -48k + 48k = 0 296 + 48k = -40 + 0 296 + 48k = -40 Add '-296' to each side of the equation. 296 + -296 + 48k = -40 + -296 Combine like terms: 296 + -296 = 0 0 + 48k = -40 + -296 48k = -40 + -296 Combine like terms: -40 + -296 = -336 48k = -336 Divide each side by '48'. k = -7 Simplifying k = -7
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